x(2x-2)+x(2x-6)=(4x+8)(x-8)

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Solution for x(2x-2)+x(2x-6)=(4x+8)(x-8) equation: 


Simplifying
x(2x + -2) + x(2x + -6) = (4x + 8)(x + -8)

Reorder the terms:
x(-2 + 2x) + x(2x + -6) = (4x + 8)(x + -8)
(-2 * x + 2x * x) + x(2x + -6) = (4x + 8)(x + -8)
(-2x + 2x2) + x(2x + -6) = (4x + 8)(x + -8)

Reorder the terms:
-2x + 2x2 + x(-6 + 2x) = (4x + 8)(x + -8)
-2x + 2x2 + (-6 * x + 2x * x) = (4x + 8)(x + -8)
-2x + 2x2 + (-6x + 2x2) = (4x + 8)(x + -8)

Reorder the terms:
-2x + -6x + 2x2 + 2x2 = (4x + 8)(x + -8)

Combine like terms: -2x + -6x = -8x
-8x + 2x2 + 2x2 = (4x + 8)(x + -8)

Combine like terms: 2x2 + 2x2 = 4x2
-8x + 4x2 = (4x + 8)(x + -8)

Reorder the terms:
-8x + 4x2 = (8 + 4x)(x + -8)

Reorder the terms:
-8x + 4x2 = (8 + 4x)(-8 + x)

Multiply (8 + 4x) * (-8 + x)
-8x + 4x2 = (8(-8 + x) + 4x * (-8 + x))
-8x + 4x2 = ((-8 * 8 + x * 8) + 4x * (-8 + x))
-8x + 4x2 = ((-64 + 8x) + 4x * (-8 + x))
-8x + 4x2 = (-64 + 8x + (-8 * 4x + x * 4x))
-8x + 4x2 = (-64 + 8x + (-32x + 4x2))

Combine like terms: 8x + -32x = -24x
-8x + 4x2 = (-64 + -24x + 4x2)

Add '-4x2' to each side of the equation.
-8x + 4x2 + -4x2 = -64 + -24x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-8x + 0 = -64 + -24x + 4x2 + -4x2
-8x = -64 + -24x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-8x = -64 + -24x + 0
-8x = -64 + -24x

Solving
-8x = -64 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-8x + 24x = -64 + -24x + 24x

Combine like terms: -8x + 24x = 16x
16x = -64 + -24x + 24x

Combine like terms: -24x + 24x = 0
16x = -64 + 0
16x = -64

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

Simplifying
x = -4

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