2r^2-32-96=0

Solution for 2r^2-32-96=0 equation:

Simplifying
2r2 + -32 + -96 = 0

Reorder the terms:
-32 + -96 + 2r2 = 0

Combine like terms: -32 + -96 = -128
-128 + 2r2 = 0

Solving
-128 + 2r2 = 0

Solving for variable 'r'.

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

Add '128' to each side of the equation.
-128 + 128 + 2r2 = 0 + 128

Combine like terms: -128 + 128 = 0
0 + 2r2 = 0 + 128
2r2 = 0 + 128

Combine like terms: 0 + 128 = 128
2r2 = 128

Divide each side by '2'.
r2 = 64

Simplifying
r2 = 64

Take the square root of each side:
r = {-8, 8}