(x-5)(x+5)=100

Solution for (x-5)(x+5)=100 equation:

Simplifying
(x + -5)(x + 5) = 100

Reorder the terms:
(-5 + x)(x + 5) = 100

Reorder the terms:
(-5 + x)(5 + x) = 100

Multiply (-5 + x) * (5 + x)
(-5(5 + x) + x(5 + x)) = 100
((5 * -5 + x * -5) + x(5 + x)) = 100
((-25 + -5x) + x(5 + x)) = 100
(-25 + -5x + (5 * x + x * x)) = 100
(-25 + -5x + (5x + x2)) = 100

Combine like terms: -5x + 5x = 0
(-25 + 0 + x2) = 100
(-25 + x2) = 100

Solving
-25 + x2 = 100

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + x2 = 100 + 25

Combine like terms: -25 + 25 = 0
0 + x2 = 100 + 25
x2 = 100 + 25

Combine like terms: 100 + 25 = 125
x2 = 125

Simplifying
x2 = 125

Take the square root of each side:
x = {-11.180339887, 11.180339887}