x^2-100=(x-10)(x+10)

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Solution for x^2-100=(x-10)(x+10) equation: 


Simplifying
x2 + -100 = (x + -10)(x + 10)

Reorder the terms:
-100 + x2 = (x + -10)(x + 10)

Reorder the terms:
-100 + x2 = (-10 + x)(x + 10)

Reorder the terms:
-100 + x2 = (-10 + x)(10 + x)

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

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

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

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

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

Add '-1x2' to each side of the equation.
x2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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