(x+100)(x-100)=

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


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

Reorder the terms:
(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}

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