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

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


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

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

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

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

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

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

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

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

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

Add '-1x2' to each side of the equation.
8x + x2 + -1x2 = -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8x + 0 = -8x + x2 + -1x2
8x = -8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8x = -8x + 0
8x = -8x

Solving
8x = -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
8x + 8x = -8x + 8x

Combine like terms: 8x + 8x = 16x
16x = -8x + 8x

Combine like terms: -8x + 8x = 0
16x = 0

Divide each side by '16'.
x = 0

Simplifying
x = 0

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