x^2-64=(x+8)(x-8)

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Solution for x^2-64=(x+8)(x-8) equation: 


Simplifying
x2 + -64 = (x + 8)(x + -8)

Reorder the terms:
-64 + x2 = (x + 8)(x + -8)

Reorder the terms:
-64 + x2 = (8 + x)(x + -8)

Reorder the terms:
-64 + x2 = (8 + x)(-8 + x)

Multiply (8 + x) * (-8 + x)
-64 + x2 = (8(-8 + x) + x(-8 + x))
-64 + x2 = ((-8 * 8 + x * 8) + x(-8 + x))
-64 + x2 = ((-64 + 8x) + x(-8 + x))
-64 + x2 = (-64 + 8x + (-8 * x + x * x))
-64 + x2 = (-64 + 8x + (-8x + x2))

Combine like terms: 8x + -8x = 0
-64 + x2 = (-64 + 0 + x2)
-64 + x2 = (-64 + x2)

Add '64' to each side of the equation.
-64 + 64 + x2 = -64 + 64 + x2

Combine like terms: -64 + 64 = 0
0 + x2 = -64 + 64 + x2
x2 = -64 + 64 + x2

Combine like terms: -64 + 64 = 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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