AlgebraAlgebra Explained |
What are some examples of algebraic equation solutions? |
The following lists some simple solutions to selected algebraic equations:
- Solve for the equation 4x - 4 = 12
add 4 to each side: 4x = 16
divide both sides by 4: x = 16/4
solve for x: x = 4
- Solve for the equation (x + 3)2 - 4x = (x—1)2 + 3
expand each side by doing the operations in the parentheses: x2 + 2x + 9 =
x2 - 2x + 4
then add -x2 to each side (another way of subtracting):
2x + 9 = -2x + 4
then add 2x to each side: 4x + 9 = 4
then add -9 to each side: 4x = -5
then multiply each side by 1/4 (divide by 4): x = -5/4