96=5x^2-x^2

Solution for 96=5x^2-x^2 equation:

Simplifying
96 = 5x2 + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
96 = 4x2

Solving
96 = 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
96 + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
96 + -4x2 = 0

Add '-96' to each side of the equation.
96 + -96 + -4x2 = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -4x2 = 0 + -96
-4x2 = 0 + -96

Combine like terms: 0 + -96 = -96
-4x2 = -96

Divide each side by '-4'.
x2 = 24

Simplifying
x2 = 24

Take the square root of each side:
x = {-4.898979486, 4.898979486}