(2x+2)(4x^3-6x^6+7x)=0

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Solution for (2x+2)(4x^3-6x^6+7x)=0 equation: 


Simplifying
(2x + 2)(4x3 + -6x6 + 7x) = 0

Reorder the terms:
(2 + 2x)(4x3 + -6x6 + 7x) = 0

Reorder the terms:
(2 + 2x)(7x + 4x3 + -6x6) = 0

Multiply (2 + 2x) * (7x + 4x3 + -6x6)
(2(7x + 4x3 + -6x6) + 2x * (7x + 4x3 + -6x6)) = 0
((7x * 2 + 4x3 * 2 + -6x6 * 2) + 2x * (7x + 4x3 + -6x6)) = 0
((14x + 8x3 + -12x6) + 2x * (7x + 4x3 + -6x6)) = 0
(14x + 8x3 + -12x6 + (7x * 2x + 4x3 * 2x + -6x6 * 2x)) = 0
(14x + 8x3 + -12x6 + (14x2 + 8x4 + -12x7)) = 0

Reorder the terms:
(14x + 14x2 + 8x3 + 8x4 + -12x6 + -12x7) = 0
(14x + 14x2 + 8x3 + 8x4 + -12x6 + -12x7) = 0

Solving
14x + 14x2 + 8x3 + 8x4 + -12x6 + -12x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(7 + 7x + 4x2 + 4x3 + -6x5 + -6x6) = 0

Ignore the factor 2.

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 '(7 + 7x + 4x2 + 4x3 + -6x5 + -6x6)' equal to zero and attempt to solve:

Simplifying
7 + 7x + 4x2 + 4x3 + -6x5 + -6x6 = 0

Solving
7 + 7x + 4x2 + 4x3 + -6x5 + -6x6 = 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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