(x+5)(x-5)-119=0

Solution for (x+5)(x-5)-119=0 equation:

Simplifying
(x + 5)(x + -5) + -119 = 0

Reorder the terms:
(5 + x)(x + -5) + -119 = 0

Reorder the terms:
(5 + x)(-5 + x) + -119 = 0

Multiply (5 + x) * (-5 + x)
(5(-5 + x) + x(-5 + x)) + -119 = 0
((-5 * 5 + x * 5) + x(-5 + x)) + -119 = 0
((-25 + 5x) + x(-5 + x)) + -119 = 0
(-25 + 5x + (-5 * x + x * x)) + -119 = 0
(-25 + 5x + (-5x + x2)) + -119 = 0

Combine like terms: 5x + -5x = 0
(-25 + 0 + x2) + -119 = 0
(-25 + x2) + -119 = 0

Reorder the terms:
-25 + -119 + x2 = 0

Combine like terms: -25 + -119 = -144
-144 + x2 = 0

Solving
-144 + x2 = 0

Solving for variable 'x'.

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

Add '144' to each side of the equation.
-144 + 144 + x2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + x2 = 0 + 144
x2 = 0 + 144

Combine like terms: 0 + 144 = 144
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}