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

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


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

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

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

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

Multiply (4 + 4x) * (-6 + x)
-8X + 4xX = (4(-6 + x) + 4x * (-6 + x))
-8X + 4xX = ((-6 * 4 + x * 4) + 4x * (-6 + x))
-8X + 4xX = ((-24 + 4x) + 4x * (-6 + x))
-8X + 4xX = (-24 + 4x + (-6 * 4x + x * 4x))
-8X + 4xX = (-24 + 4x + (-24x + 4x2))

Combine like terms: 4x + -24x = -20x
-8X + 4xX = (-24 + -20x + 4x2)

Solving
-8X + 4xX = -24 + -20x + 4x2

Solving for variable 'X'.

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

Reorder the terms:
24 + -8X + 20x + 4xX + -4x2 = -24 + -20x + 4x2 + 24 + 20x + -4x2

Reorder the terms:
24 + -8X + 20x + 4xX + -4x2 = -24 + 24 + -20x + 20x + 4x2 + -4x2

Combine like terms: -24 + 24 = 0
24 + -8X + 20x + 4xX + -4x2 = 0 + -20x + 20x + 4x2 + -4x2
24 + -8X + 20x + 4xX + -4x2 = -20x + 20x + 4x2 + -4x2

Combine like terms: -20x + 20x = 0
24 + -8X + 20x + 4xX + -4x2 = 0 + 4x2 + -4x2
24 + -8X + 20x + 4xX + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
24 + -8X + 20x + 4xX + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + -2X + 5x + xX + -1x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(6 + -2X + 5x + xX + -1x2)' equal to zero and attempt to solve: Simplifying 6 + -2X + 5x + xX + -1x2 = 0 Solving 6 + -2X + 5x + xX + -1x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -2X + 5x + xX + -6 + -1x2 = 0 + -6 Reorder the terms: 6 + -6 + -2X + 5x + xX + -1x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2X + 5x + xX + -1x2 = 0 + -6 -2X + 5x + xX + -1x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -2X + 5x + xX + -1x2 = -6 Add '-5x' to each side of the equation. -2X + 5x + xX + -5x + -1x2 = -6 + -5x Reorder the terms: -2X + 5x + -5x + xX + -1x2 = -6 + -5x Combine like terms: 5x + -5x = 0 -2X + 0 + xX + -1x2 = -6 + -5x -2X + xX + -1x2 = -6 + -5x Add 'x2' to each side of the equation. -2X + xX + -1x2 + x2 = -6 + -5x + x2 Combine like terms: -1x2 + x2 = 0 -2X + xX + 0 = -6 + -5x + x2 -2X + xX = -6 + -5x + 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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