(100+X)(X-100)=

Solution for (100+X)(X-100)= equation:

Simplifying
(100 + X)(X + -100) = 0

Reorder the terms:
(100 + X)(-100 + X) = 0

Multiply (100 + X) * (-100 + X)
(100(-100 + X) + X(-100 + X)) = 0
((-100 * 100 + X * 100) + X(-100 + X)) = 0
((-10000 + 100X) + X(-100 + X)) = 0
(-10000 + 100X + (-100 * X + X * X)) = 0
(-10000 + 100X + (-100X + X2)) = 0

Combine like terms: 100X + -100X = 0
(-10000 + 0 + X2) = 0
(-10000 + X2) = 0

Solving
-10000 + X2 = 0

Solving for variable 'X'.

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

Add '10000' to each side of the equation.
-10000 + 10000 + X2 = 0 + 10000

Combine like terms: -10000 + 10000 = 0
0 + X2 = 0 + 10000
X2 = 0 + 10000

Combine like terms: 0 + 10000 = 10000
X2 = 10000

Simplifying
X2 = 10000

Take the square root of each side:
X = {-100, 100}