# Basic Algebra/Solving Quadratic Equations/Solving Quadratic Equations by Factoring

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## Vocabulary[edit]

## Lesson[edit]

The easiest way to solve a quadratic equation is to factor the problem. Steps:

- Make "Y" a zero.
- list all the factors of "a" in y=ax
^{2}+bx+c. - List all the factors of "c" in y=ax
^{2}+bx+c. - See which factors can be used in such a way that when added or subtracted together they equal "b"

## Example Problems[edit]

y=x^{2}+2x+1

- a=1 1*1=1
- c=1 1*1=1
- b=2 1+1=2

0=(x+1)(x+1) or 0=(x+1)^{2}
x=-1

## Practice Games[edit]

## Practice Problems[edit]

**Easy**

**Medium**

**Hard**