(4x-2)(x+6)(2x-4)=0

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Solution for (4x-2)(x+6)(2x-4)=0 equation: 


Simplifying
(4x + -2)(x + 6)(2x + -4) = 0

Reorder the terms:
(-2 + 4x)(x + 6)(2x + -4) = 0

Reorder the terms:
(-2 + 4x)(6 + x)(2x + -4) = 0

Reorder the terms:
(-2 + 4x)(6 + x)(-4 + 2x) = 0

Multiply (-2 + 4x) * (6 + x)
(-2(6 + x) + 4x * (6 + x))(-4 + 2x) = 0
((6 * -2 + x * -2) + 4x * (6 + x))(-4 + 2x) = 0
((-12 + -2x) + 4x * (6 + x))(-4 + 2x) = 0
(-12 + -2x + (6 * 4x + x * 4x))(-4 + 2x) = 0
(-12 + -2x + (24x + 4x2))(-4 + 2x) = 0

Combine like terms: -2x + 24x = 22x
(-12 + 22x + 4x2)(-4 + 2x) = 0

Multiply (-12 + 22x + 4x2) * (-4 + 2x)
(-12(-4 + 2x) + 22x * (-4 + 2x) + 4x2 * (-4 + 2x)) = 0
((-4 * -12 + 2x * -12) + 22x * (-4 + 2x) + 4x2 * (-4 + 2x)) = 0
((48 + -24x) + 22x * (-4 + 2x) + 4x2 * (-4 + 2x)) = 0
(48 + -24x + (-4 * 22x + 2x * 22x) + 4x2 * (-4 + 2x)) = 0
(48 + -24x + (-88x + 44x2) + 4x2 * (-4 + 2x)) = 0
(48 + -24x + -88x + 44x2 + (-4 * 4x2 + 2x * 4x2)) = 0
(48 + -24x + -88x + 44x2 + (-16x2 + 8x3)) = 0

Combine like terms: -24x + -88x = -112x
(48 + -112x + 44x2 + -16x2 + 8x3) = 0

Combine like terms: 44x2 + -16x2 = 28x2
(48 + -112x + 28x2 + 8x3) = 0

Solving
48 + -112x + 28x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(12 + -28x + 7x2 + 2x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(12 + -28x + 7x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
12 + -28x + 7x2 + 2x3 = 0

Solving
12 + -28x + 7x2 + 2x3 = 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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