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

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


Simplifying
X(-4x + 8) + -1x(4 + -2x) = 0

Reorder the terms:
X(8 + -4x) + -1x(4 + -2x) = 0
(8 * X + -4x * X) + -1x(4 + -2x) = 0
(8X + -4xX) + -1x(4 + -2x) = 0
8X + -4xX + (4 * -1x + -2x * -1x) = 0
8X + -4xX + (-4x + 2x2) = 0

Reorder the terms:
8X + -4x + -4xX + 2x2 = 0

Solving
8X + -4x + -4xX + 2x2 = 0

Solving for variable 'X'.

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

Add '4x' to each side of the equation.
8X + -4x + -4xX + 4x + 2x2 = 0 + 4x

Reorder the terms:
8X + -4x + 4x + -4xX + 2x2 = 0 + 4x

Combine like terms: -4x + 4x = 0
8X + 0 + -4xX + 2x2 = 0 + 4x
8X + -4xX + 2x2 = 0 + 4x
Remove the zero:
8X + -4xX + 2x2 = 4x

Add '-2x2' to each side of the equation.
8X + -4xX + 2x2 + -2x2 = 4x + -2x2

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

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

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

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

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

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

Ignore the factor 2.

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

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

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

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

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

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

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

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

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

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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