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

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


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

Reorder the terms:
3x(4 + 2x)(-2 + 4x) = 8x + -4

Multiply (4 + 2x) * (-2 + 4x)
3x(4(-2 + 4x) + 2x * (-2 + 4x)) = 8x + -4
3x((-2 * 4 + 4x * 4) + 2x * (-2 + 4x)) = 8x + -4
3x((-8 + 16x) + 2x * (-2 + 4x)) = 8x + -4
3x(-8 + 16x + (-2 * 2x + 4x * 2x)) = 8x + -4
3x(-8 + 16x + (-4x + 8x2)) = 8x + -4

Combine like terms: 16x + -4x = 12x
3x(-8 + 12x + 8x2) = 8x + -4
(-8 * 3x + 12x * 3x + 8x2 * 3x) = 8x + -4
(-24x + 36x2 + 24x3) = 8x + -4

Reorder the terms:
-24x + 36x2 + 24x3 = -4 + 8x

Solving
-24x + 36x2 + 24x3 = -4 + 8x

Solving for variable 'x'.

Reorder the terms:
4 + -24x + -8x + 36x2 + 24x3 = -4 + 8x + 4 + -8x

Combine like terms: -24x + -8x = -32x
4 + -32x + 36x2 + 24x3 = -4 + 8x + 4 + -8x

Reorder the terms:
4 + -32x + 36x2 + 24x3 = -4 + 4 + 8x + -8x

Combine like terms: -4 + 4 = 0
4 + -32x + 36x2 + 24x3 = 0 + 8x + -8x
4 + -32x + 36x2 + 24x3 = 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -32x + 36x2 + 24x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -8x + 9x2 + 6x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(1 + -8x + 9x2 + 6x3)' equal to zero and attempt to solve:

Simplifying
1 + -8x + 9x2 + 6x3 = 0

Solving
1 + -8x + 9x2 + 6x3 = 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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