(x-5)(x+5)-27=0

Solution for (x-5)(x+5)-27=0 equation:

Simplifying
(x + -5)(x + 5) + -27 = 0

Reorder the terms:
(-5 + x)(x + 5) + -27 = 0

Reorder the terms:
(-5 + x)(5 + x) + -27 = 0

Multiply (-5 + x) * (5 + x)
(-5(5 + x) + x(5 + x)) + -27 = 0
((5 * -5 + x * -5) + x(5 + x)) + -27 = 0
((-25 + -5x) + x(5 + x)) + -27 = 0
(-25 + -5x + (5 * x + x * x)) + -27 = 0
(-25 + -5x + (5x + x2)) + -27 = 0

Combine like terms: -5x + 5x = 0
(-25 + 0 + x2) + -27 = 0
(-25 + x2) + -27 = 0

Reorder the terms:
-25 + -27 + x2 = 0

Combine like terms: -25 + -27 = -52
-52 + x2 = 0

Solving
-52 + x2 = 0

Solving for variable 'x'.

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

Add '52' to each side of the equation.
-52 + 52 + x2 = 0 + 52

Combine like terms: -52 + 52 = 0
0 + x2 = 0 + 52
x2 = 0 + 52

Combine like terms: 0 + 52 = 52
x2 = 52

Simplifying
x2 = 52

Take the square root of each side:
x = {-7.211102551, 7.211102551}