(x+-8)(x+-8)=(x)(x)

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Solution for (x+-8)(x+-8)=(x)(x) equation: 


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

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

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

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

Combine like terms: -8x + -8x = -16x
(64 + -16x + x2) = (x)(x)

Multiply x * x
64 + -16x + x2 = x2

Add '-1x2' to each side of the equation.
64 + -16x + x2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
64 + -16x + 0 = x2 + -1x2
64 + -16x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
64 + -16x = 0

Solving
64 + -16x = 0

Solving for variable 'x'.

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

Add '-64' to each side of the equation.
64 + -64 + -16x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -16x = 0 + -64
-16x = 0 + -64

Combine like terms: 0 + -64 = -64
-16x = -64

Divide each side by '-16'.
x = 4

Simplifying
x = 4

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