(x+10)(x-10)=125

Solution for (x+10)(x-10)=125 equation:

Simplifying
(x + 10)(x + -10) = 125

Reorder the terms:
(10 + x)(x + -10) = 125

Reorder the terms:
(10 + x)(-10 + x) = 125

Multiply (10 + x) * (-10 + x)
(10(-10 + x) + x(-10 + x)) = 125
((-10 * 10 + x * 10) + x(-10 + x)) = 125
((-100 + 10x) + x(-10 + x)) = 125
(-100 + 10x + (-10 * x + x * x)) = 125
(-100 + 10x + (-10x + x2)) = 125

Combine like terms: 10x + -10x = 0
(-100 + 0 + x2) = 125
(-100 + x2) = 125

Solving
-100 + x2 = 125

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 100 + x2 = 125 + 100

Combine like terms: -100 + 100 = 0
0 + x2 = 125 + 100
x2 = 125 + 100

Combine like terms: 125 + 100 = 225
x2 = 225

Simplifying
x2 = 225

Take the square root of each side:
x = {-15, 15}