(x-4)(x+4)+115=180

Solution for (x-4)(x+4)+115=180 equation:

Simplifying
(x + -4)(x + 4) + 115 = 180

Reorder the terms:
(-4 + x)(x + 4) + 115 = 180

Reorder the terms:
(-4 + x)(4 + x) + 115 = 180

Multiply (-4 + x) * (4 + x)
(-4(4 + x) + x(4 + x)) + 115 = 180
((4 * -4 + x * -4) + x(4 + x)) + 115 = 180
((-16 + -4x) + x(4 + x)) + 115 = 180
(-16 + -4x + (4 * x + x * x)) + 115 = 180
(-16 + -4x + (4x + x2)) + 115 = 180

Combine like terms: -4x + 4x = 0
(-16 + 0 + x2) + 115 = 180
(-16 + x2) + 115 = 180

Reorder the terms:
-16 + 115 + x2 = 180

Combine like terms: -16 + 115 = 99
99 + x2 = 180

Solving
99 + x2 = 180

Solving for variable 'x'.

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

Add '-99' to each side of the equation.
99 + -99 + x2 = 180 + -99

Combine like terms: 99 + -99 = 0
0 + x2 = 180 + -99
x2 = 180 + -99

Combine like terms: 180 + -99 = 81
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}