5x^2-13=32

Solution for 5x^2-13=32 equation:

Simplifying
5x2 + -13 = 32

Reorder the terms:
-13 + 5x2 = 32

Solving
-13 + 5x2 = 32

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '13' to each side of the equation.
-13 + 13 + 5x2 = 32 + 13

Combine like terms: -13 + 13 = 0
0 + 5x2 = 32 + 13
5x2 = 32 + 13

Combine like terms: 32 + 13 = 45
5x2 = 45

Divide each side by '5'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}