Solve Quadratic Equations by Factoring Calculator

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
A quadratic equations of the form ax^2+ bx + c = 0 for x, where a \ne 0 might be factorable into its constituent products as follows (px+q)(rx+s) = 0.

In the case of a nice and simple equation, the constants p,q,r can be determined through simple inspection.

Factoring by inspection is normally the first solution strategy studied by most students. The method forms the basis of studying other advanced solution methods such as quadratic formula and complete square methods.

Solving Quadratic Equations by Factoring

From the example above, the quadratic problem simply reduces to a linear problem which can be solved by simple factorization.

Example 1:

Given x^2+ 5x+ 6=0

\left(x+ 3\right)\left(x+ 2\right)=0 (factoring the polynomial)

\left(x+ 3\right)=0 OR \left(x+ 2\right)=0

Thus x=-3, Or x=-2

The example above shows that it is indeed easy to solve quadratics by factoring method. However, the method only works for the most basic equations. Ideally the method will only work on quadratics with rational roots. By default, the method will work on special functions, those with b= 0 or c= 0.

Thus, the litmus test for factoring by inspection is rational roots. With our online algebra calculator, you don�t have to worry about the nature of the roots to an equation. Simply type in your math problem and get a solution on demand.

First the calculator will automatically test if a particular math problem is solvable using the factoring method. The calc will proceed and print the results if the equation is solvable. Likewise, the calc will recommend the best solution method in case the polynomial is not factorable.

More factoring examples

Solving equations by factoring with coefficients

While solving a quadratic equation though the factoring method, it is important to determine the right coefficients. Normally, the coefficients have to sum up to �b� (the coefficient of x) and they also have to have some common factors with either (a and b) or both. You don�t have to worry about finding the right factoring constant. The calculator does that automatically for you.

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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