96=(x+5)(x-5)

Solution for 96=(x+5)(x-5) equation:

Simplifying
96 = (x + 5)(x + -5)

Reorder the terms:
96 = (5 + x)(x + -5)

Reorder the terms:
96 = (5 + x)(-5 + x)

Multiply (5 + x) * (-5 + x)
96 = (5(-5 + x) + x(-5 + x))
96 = ((-5 * 5 + x * 5) + x(-5 + x))
96 = ((-25 + 5x) + x(-5 + x))
96 = (-25 + 5x + (-5 * x + x * x))
96 = (-25 + 5x + (-5x + x2))

Combine like terms: 5x + -5x = 0
96 = (-25 + 0 + x2)
96 = (-25 + x2)

Solving
96 = -25 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
96 + -1x2 = -25 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
96 + -1x2 = -25 + 0
96 + -1x2 = -25

Add '-96' to each side of the equation.
96 + -96 + -1x2 = -25 + -96

Combine like terms: 96 + -96 = 0
0 + -1x2 = -25 + -96
-1x2 = -25 + -96

Combine like terms: -25 + -96 = -121
-1x2 = -121

Divide each side by '-1'.
x2 = 121

Simplifying
x2 = 121

Take the square root of each side:
x = {-11, 11}