X(4x-3)+x(2x-2)=(6x+8)(x-2)

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Solution for X(4x-3)+x(2x-2)=(6x+8)(x-2) equation: 


Simplifying
X(4x + -3) + x(2x + -2) = (6x + 8)(x + -2)

Reorder the terms:
X(-3 + 4x) + x(2x + -2) = (6x + 8)(x + -2)
(-3 * X + 4x * X) + x(2x + -2) = (6x + 8)(x + -2)
(-3X + 4xX) + x(2x + -2) = (6x + 8)(x + -2)

Reorder the terms:
-3X + 4xX + x(-2 + 2x) = (6x + 8)(x + -2)
-3X + 4xX + (-2 * x + 2x * x) = (6x + 8)(x + -2)
-3X + 4xX + (-2x + 2x2) = (6x + 8)(x + -2)

Reorder the terms:
-3X + -2x + 4xX + 2x2 = (6x + 8)(x + -2)

Reorder the terms:
-3X + -2x + 4xX + 2x2 = (8 + 6x)(x + -2)

Reorder the terms:
-3X + -2x + 4xX + 2x2 = (8 + 6x)(-2 + x)

Multiply (8 + 6x) * (-2 + x)
-3X + -2x + 4xX + 2x2 = (8(-2 + x) + 6x * (-2 + x))
-3X + -2x + 4xX + 2x2 = ((-2 * 8 + x * 8) + 6x * (-2 + x))
-3X + -2x + 4xX + 2x2 = ((-16 + 8x) + 6x * (-2 + x))
-3X + -2x + 4xX + 2x2 = (-16 + 8x + (-2 * 6x + x * 6x))
-3X + -2x + 4xX + 2x2 = (-16 + 8x + (-12x + 6x2))

Combine like terms: 8x + -12x = -4x
-3X + -2x + 4xX + 2x2 = (-16 + -4x + 6x2)

Solving
-3X + -2x + 4xX + 2x2 = -16 + -4x + 6x2

Solving for variable 'X'.

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

Add '2x' to each side of the equation.
-3X + -2x + 4xX + 2x + 2x2 = -16 + -4x + 2x + 6x2

Reorder the terms:
-3X + -2x + 2x + 4xX + 2x2 = -16 + -4x + 2x + 6x2

Combine like terms: -2x + 2x = 0
-3X + 0 + 4xX + 2x2 = -16 + -4x + 2x + 6x2
-3X + 4xX + 2x2 = -16 + -4x + 2x + 6x2

Combine like terms: -4x + 2x = -2x
-3X + 4xX + 2x2 = -16 + -2x + 6x2

Add '-2x2' to each side of the equation.
-3X + 4xX + 2x2 + -2x2 = -16 + -2x + 6x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3X + 4xX + 0 = -16 + -2x + 6x2 + -2x2
-3X + 4xX = -16 + -2x + 6x2 + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
-3X + 4xX = -16 + -2x + 4x2

Reorder the terms:
16 + -3X + 2x + 4xX + -4x2 = -16 + -2x + 4x2 + 16 + 2x + -4x2

Reorder the terms:
16 + -3X + 2x + 4xX + -4x2 = -16 + 16 + -2x + 2x + 4x2 + -4x2

Combine like terms: -16 + 16 = 0
16 + -3X + 2x + 4xX + -4x2 = 0 + -2x + 2x + 4x2 + -4x2
16 + -3X + 2x + 4xX + -4x2 = -2x + 2x + 4x2 + -4x2

Combine like terms: -2x + 2x = 0
16 + -3X + 2x + 4xX + -4x2 = 0 + 4x2 + -4x2
16 + -3X + 2x + 4xX + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
16 + -3X + 2x + 4xX + -4x2 = 0

The solution to this equation could not be determined.

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