96-2x^2=8x^2-64

Solution for 96-2x^2=8x^2-64 equation:

Simplifying
96 + -2x2 = 8x2 + -64

Reorder the terms:
96 + -2x2 = -64 + 8x2

Solving
96 + -2x2 = -64 + 8x2

Solving for variable 'x'.

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

Add '-8x2' to each side of the equation.
96 + -2x2 + -8x2 = -64 + 8x2 + -8x2

Combine like terms: -2x2 + -8x2 = -10x2
96 + -10x2 = -64 + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
96 + -10x2 = -64 + 0
96 + -10x2 = -64

Add '-96' to each side of the equation.
96 + -96 + -10x2 = -64 + -96

Combine like terms: 96 + -96 = 0
0 + -10x2 = -64 + -96
-10x2 = -64 + -96

Combine like terms: -64 + -96 = -160
-10x2 = -160

Divide each side by '-10'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}