4x^6(2x-4)=3x(x-2)

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Solution for 4x^6(2x-4)=3x(x-2) equation: 


Simplifying
4x6(2x + -4) = 3x(x + -2)

Reorder the terms:
4x6(-4 + 2x) = 3x(x + -2)
(-4 * 4x6 + 2x * 4x6) = 3x(x + -2)
(-16x6 + 8x7) = 3x(x + -2)

Reorder the terms:
-16x6 + 8x7 = 3x(-2 + x)
-16x6 + 8x7 = (-2 * 3x + x * 3x)
-16x6 + 8x7 = (-6x + 3x2)

Solving
-16x6 + 8x7 = -6x + 3x2

Solving for variable 'x'.

Reorder the terms:
6x + -3x2 + -16x6 + 8x7 = -6x + 3x2 + 6x + -3x2

Reorder the terms:
6x + -3x2 + -16x6 + 8x7 = -6x + 6x + 3x2 + -3x2

Combine like terms: -6x + 6x = 0
6x + -3x2 + -16x6 + 8x7 = 0 + 3x2 + -3x2
6x + -3x2 + -16x6 + 8x7 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
6x + -3x2 + -16x6 + 8x7 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -3x + -16x5 + 8x6) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(6 + -3x + -16x5 + 8x6)' equal to zero and attempt to solve:

Simplifying
6 + -3x + -16x5 + 8x6 = 0

Solving
6 + -3x + -16x5 + 8x6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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