5x^2-152=28

Solution for 5x^2-152=28 equation:

Simplifying
5x2 + -152 = 28

Reorder the terms:
-152 + 5x2 = 28

Solving
-152 + 5x2 = 28

Solving for variable 'x'.

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

Add '152' to each side of the equation.
-152 + 152 + 5x2 = 28 + 152

Combine like terms: -152 + 152 = 0
0 + 5x2 = 28 + 152
5x2 = 28 + 152

Combine like terms: 28 + 152 = 180
5x2 = 180

Divide each side by '5'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}