Free Algebra Solver — step-by-step

Free Algebra Solver
with Step-by-Step AI

Equations, systems, polynomials and inequalities — full solution with every step explained. No account, no paywall.

  • Linear & quadratic equations
  • Systems of equations
  • Polynomials & factoring
  • Inequalities & functions
← Back to all math tools
Algebra Solver — MathGPT Free ✓ Free
Ctrl+Enter to solve
Parsing problem…

Step 2 — Quadratic formula: x=(5±√49)/4=(5±7)/4

x₁=3 and x₂=−½

Verify: 2(9)−15−3=0 ✓

Final Answer: x=3 and x=−½

Linear & quadratic equations
Systems of equations
Polynomials & factoring
Inequalities & functions
Algebra Solver — MathGPT Free — More Examples
✓ Step-by-step · Free
2x²−5x−3=0System: 3x+2y=12Factor: x³−6x²+11x−6Insert:

Ctrl+Enter to solve instantly

Subject: Algebra
Parsing your algebra problem…
Identifying the solution method
Working through each step
Verifying the final answer
Solution Ready

Step 2 — Quadratic formula: x=(5±√49)/4=(5±7)/4

x₁=3 and x₂=−½

Verify: 2(9)−15−3=0 ✓

Final Answer: x=3 and x=−½

Full step-by-step solution is ready

View Full Solution →

From problem to solution in seconds

01

Type your algebra problem

Enter an equation, system, or word problem. Use x^2 for exponents or click the symbol buttons.

02

AI picks the method

Detects whether to use substitution, quadratic formula, factoring, or elimination.

03

Read every algebraic step

Each step is labeled in plain English — not just a final number.

What this algebra solver handles

Linear Equations
One or two variables, solving for x, slope-intercept form.
📐
Quadratic Equations
Factoring, completing the square, quadratic formula.
🔀
Systems of Equations
Substitution, elimination, matrix methods.
📊
Polynomials
Factoring, division, finding roots and zeros.
⚖️
Inequalities
Linear and quadratic inequalities, interval notation.
🔢
Functions
Domain, range, composition, inverse functions.

What Is a Free Algebra Solver?

An algebra solver takes a mathematical equation or expression and returns a step-by-step solution. MathGPT Free identifies the problem type, selects the right method, and explains each step in plain language, the way a tutor would.

It handles the full algebra curriculum: linear equations, quadratic equations, systems of equations, polynomial factoring, inequalities, and functions. Type problems in standard notation or use the symbol keyboard.

How to Solve Algebra Problems Step by Step

Set up the equation clearly

Write the problem in standard form before entering it. ‘Solve for x: 2x+5=13’ gives more targeted output than a vague description.

Let the AI select the method

Quadratic equations can be factored, completed, or solved with the quadratic formula. The solver picks the best approach automatically.

Read each algebraic transformation

Every step — moving terms, dividing both sides, applying the quadratic formula — is visible, labeled, and explained.

Algebra Problems This Solver Handles

  • Linear equations in one and two variables
  • Quadratic equations using multiple methods
  • Systems of two and three equations
  • Polynomial factoring and root-finding
  • Absolute value equations and inequalities
  • Word problems: rate, age, mixture, distance

Real results from real students

★★★★★

“I had a system of equations that kept giving me the wrong answer. Put it here and finally saw where I was making the sign error.”

Kenji M.
High school, Algebra II
★★★★★

“Way better than Symbolab for explaining why each step happens. This actually teaches you.”

Alicia T.
College freshman, Math 101
★★★★☆

“Used this to prep for my SAT math. The linear equation examples are really clear.”

Devon R.
SAT prep student

Common questions

Yes. Describe the problem in plain language and the AI extracts the algebraic structure. Rate, age, mixture, and distance problems are all supported.
Yes — 2 or 3 variables using substitution, elimination, or matrix methods. Enter each equation on a new line.
Yes. Any polynomial expression is factored completely, showing grouping, difference of squares, and quadratic formula steps.
Type x^2 for x², or click the x² button above the input field.
Mathway puts step-by-step solutions behind a $9.99/month paywall. MathGPT Free provides full solutions at no cost, no login required.

Ready to solve your algebra problem?

No login. No paywall. Full step-by-step solution every time.

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