(2x-4)(x^2-4x)+4(2x-4)=0

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Solution for (2x-4)(x^2-4x)+4(2x-4)=0 equation:


Simplifying
(2x + -4)(x2 + -4x) + 4(2x + -4) = 0

Reorder the terms:
(-4 + 2x)(x2 + -4x) + 4(2x + -4) = 0

Reorder the terms:
(-4 + 2x)(-4x + x2) + 4(2x + -4) = 0

Multiply (-4 + 2x) * (-4x + x2)
(-4(-4x + x2) + 2x * (-4x + x2)) + 4(2x + -4) = 0
((-4x * -4 + x2 * -4) + 2x * (-4x + x2)) + 4(2x + -4) = 0
((16x + -4x2) + 2x * (-4x + x2)) + 4(2x + -4) = 0
(16x + -4x2 + (-4x * 2x + x2 * 2x)) + 4(2x + -4) = 0
(16x + -4x2 + (-8x2 + 2x3)) + 4(2x + -4) = 0

Combine like terms: -4x2 + -8x2 = -12x2
(16x + -12x2 + 2x3) + 4(2x + -4) = 0

Reorder the terms:
16x + -12x2 + 2x3 + 4(-4 + 2x) = 0
16x + -12x2 + 2x3 + (-4 * 4 + 2x * 4) = 0
16x + -12x2 + 2x3 + (-16 + 8x) = 0

Reorder the terms:
-16 + 16x + 8x + -12x2 + 2x3 = 0

Combine like terms: 16x + 8x = 24x
-16 + 24x + -12x2 + 2x3 = 0

Solving
-16 + 24x + -12x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 12x + -6x2 + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-8 + 12x + -6x2 + x3)' equal to zero and attempt to solve: Simplifying -8 + 12x + -6x2 + x3 = 0 Solving -8 + 12x + -6x2 + x3 = 0 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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