## Algebra## Algebra Explained |

## What are some examples of algebraic equation solutions? |

The following lists some simple solutions to selected algebraic equations:

- Solve for the equation 4
*x*- 4 = 12add 4 to each side: 4

*x*= 16divide both sides by 4:

*x*= 16/4solve for

*x: x*= 4 - Solve for the equation (
*x*+ 3)^{2}- 4x = (*x*—1)^{2}+ 3expand each side by doing the operations in the parentheses:

*x*+ 2^{2}*x*+ 9 =*x*- 2^{2}*x*+ 4then add

*-x*^{2}to each side (another way of subtracting):2

*x*+ 9 = -2*x*+ 4then add 2x to each side: 4

*x*+ 9 = 4then add -9 to each side: 4

*x*= -5then multiply each side by 1/4 (divide by 4):

*x*= -5/4