A Factoring Calculator For Quadratic Equations with Steps

Want to calculate? Get Solutions Here:

Enter a math problem on an Equation in the text area Above

Example x^2-2x+3=4 -OR- 2x-y=9 Click the button to Solve!


2x-y=0 Solve for variables Example
2x^2-2x+3=0 Quadratic Equation Example
x^2-5x-8=0 Quadratic Equation Example
2-3=0 Evaluate Example
2x-2y-xy Simplify/ Evaluate Example
2x^2-2x+6=0 Solve for variables Example
4x+2=2(x+6) Simplify Example

Graphical Solution of Equations:

A Worked example to illustrate how the factoring calculator Works:

Worked Algebra example

An algebra calculator that finds the roots to a quadratic equation of the form ax^2+ bx + c = 0 for x, where a \ne 0 through the factoring method.

As the name suggests the method reduces a second degree polynomial ax^2+ bx + c = 0 into a product of simple first degree equations as illustrated in the following example:

ax^2+ bx + c = (x+h)(x+k)=0, where h, k are constants.

From the above example, it is easy to solve for x, simply by equating either of the factors to zero.

Factor quadratic equations step-by-step

To illustrate how the factoring calculator works step by step, we use an example.

Problem: 4x^2-25=0   // case c=0
Solution: (2x+5)(2x-5)

2x+5=0 Or 2x-5=0

Thus x=\frac{-5}{2} Or x= \frac{5}{2}

Example 2:


Step 1: Find j=-6 and k=1 Such That  j*k=-6 And j+k=-5


Step 2: Choose best combination for Factoring, Then Factor And Simplify




Step 3: Equate Each of the product to Zero

x-6= 0 OR  x+1=0?


X=6 OR  x=-1

Polynomial factor calculator

You can factor polynomials of degree 2 in order to find its solution. Using this calculator enables you to factor a quadratic equation accurately and efficiently. The calculator factors nicely with all the steps.

Here are more examples to help you master the factoring equation method.

More Factoring Examples


Final thoughts

This calculator not only gives you the answers but it helps you learn algebra too. With the calculator, you can practice on how to find the roots of a quadratic equation simply by working the problem your own way and comparing the results with those of the calculator.

Acceptable Math symbols and their usage
If you choose to write your mathematical statements, here is a list of acceptable math symbols and operators.

  • + Used for Addition
  • -Used for Subtraction
  • *multiplication operator symbol
  • /Division operator
  • ^Used for exponent or to Raise to Power
  • sqrtSquare root operator
Pi : Represents the mathematical Constant pi or \pi

Go to Solved Algebra examples with Steps

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