X(2x-2)=(2x+4)(x-1)

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Solution for X(2x-2)=(2x+4)(x-1) equation: 


Simplifying
X(2x + -2) = (2x + 4)(x + -1)

Reorder the terms:
X(-2 + 2x) = (2x + 4)(x + -1)
(-2 * X + 2x * X) = (2x + 4)(x + -1)
(-2X + 2xX) = (2x + 4)(x + -1)

Reorder the terms:
-2X + 2xX = (4 + 2x)(x + -1)

Reorder the terms:
-2X + 2xX = (4 + 2x)(-1 + x)

Multiply (4 + 2x) * (-1 + x)
-2X + 2xX = (4(-1 + x) + 2x * (-1 + x))
-2X + 2xX = ((-1 * 4 + x * 4) + 2x * (-1 + x))
-2X + 2xX = ((-4 + 4x) + 2x * (-1 + x))
-2X + 2xX = (-4 + 4x + (-1 * 2x + x * 2x))
-2X + 2xX = (-4 + 4x + (-2x + 2x2))

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

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

Solving for variable 'X'.

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

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

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

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

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

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

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

Ignore the factor 2.

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

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

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

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

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

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

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

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

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

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

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

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

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