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

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


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

Reorder the terms:
X(-4 + 2x) = (2x + 8)(x + -8)
(-4 * X + 2x * X) = (2x + 8)(x + -8)
(-4X + 2xX) = (2x + 8)(x + -8)

Reorder the terms:
-4X + 2xX = (8 + 2x)(x + -8)

Reorder the terms:
-4X + 2xX = (8 + 2x)(-8 + x)

Multiply (8 + 2x) * (-8 + x)
-4X + 2xX = (8(-8 + x) + 2x * (-8 + x))
-4X + 2xX = ((-8 * 8 + x * 8) + 2x * (-8 + x))
-4X + 2xX = ((-64 + 8x) + 2x * (-8 + x))
-4X + 2xX = (-64 + 8x + (-8 * 2x + x * 2x))
-4X + 2xX = (-64 + 8x + (-16x + 2x2))

Combine like terms: 8x + -16x = -8x
-4X + 2xX = (-64 + -8x + 2x2)

Solving
-4X + 2xX = -64 + -8x + 2x2

Solving for variable 'X'.

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

Reorder the terms:
64 + -4X + 8x + 2xX + -2x2 = -64 + -8x + 2x2 + 64 + 8x + -2x2

Reorder the terms:
64 + -4X + 8x + 2xX + -2x2 = -64 + 64 + -8x + 8x + 2x2 + -2x2

Combine like terms: -64 + 64 = 0
64 + -4X + 8x + 2xX + -2x2 = 0 + -8x + 8x + 2x2 + -2x2
64 + -4X + 8x + 2xX + -2x2 = -8x + 8x + 2x2 + -2x2

Combine like terms: -8x + 8x = 0
64 + -4X + 8x + 2xX + -2x2 = 0 + 2x2 + -2x2
64 + -4X + 8x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
64 + -4X + 8x + 2xX + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + -2X + 4x + xX + -1x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(32 + -2X + 4x + xX + -1x2)' equal to zero and attempt to solve:

Simplifying
32 + -2X + 4x + xX + -1x2 = 0

Solving
32 + -2X + 4x + xX + -1x2 = 0

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

Add '-32' to each side of the equation.
32 + -2X + 4x + xX + -32 + -1x2 = 0 + -32

Reorder the terms:
32 + -32 + -2X + 4x + xX + -1x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -2X + 4x + xX + -1x2 = 0 + -32
-2X + 4x + xX + -1x2 = 0 + -32

Combine like terms: 0 + -32 = -32
-2X + 4x + xX + -1x2 = -32

Add '-4x' to each side of the equation.
-2X + 4x + xX + -4x + -1x2 = -32 + -4x

Reorder the terms:
-2X + 4x + -4x + xX + -1x2 = -32 + -4x

Combine like terms: 4x + -4x = 0
-2X + 0 + xX + -1x2 = -32 + -4x
-2X + xX + -1x2 = -32 + -4x

Add 'x2' to each side of the equation.
-2X + xX + -1x2 + x2 = -32 + -4x + x2

Combine like terms: -1x2 + x2 = 0
-2X + xX + 0 = -32 + -4x + x2
-2X + xX = -32 + -4x + x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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