8x^2-180=5x^2-20

Solution for 8x^2-180=5x^2-20 equation:

Simplifying
8x2 + -180 = 5x2 + -20

Reorder the terms:
-180 + 8x2 = 5x2 + -20

Reorder the terms:
-180 + 8x2 = -20 + 5x2

Solving
-180 + 8x2 = -20 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
-180 + 8x2 + -5x2 = -20 + 5x2 + -5x2

Combine like terms: 8x2 + -5x2 = 3x2
-180 + 3x2 = -20 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-180 + 3x2 = -20 + 0
-180 + 3x2 = -20

Add '180' to each side of the equation.
-180 + 180 + 3x2 = -20 + 180

Combine like terms: -180 + 180 = 0
0 + 3x2 = -20 + 180
3x2 = -20 + 180

Combine like terms: -20 + 180 = 160
3x2 = 160

Divide each side by '3'.
x2 = 53.33333333

Simplifying
x2 = 53.33333333

Take the square root of each side:
x = {-7.302967433, 7.302967433}