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

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


Simplifying
6x(x3 + 6x2 + -7) = 0

Reorder the terms:
6x(-7 + 6x2 + x3) = 0
(-7 * 6x + 6x2 * 6x + x3 * 6x) = 0
(-42x + 36x3 + 6x4) = 0

Solving
-42x + 36x3 + 6x4 = 0

Solving for variable 'x'.

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

Ignore the factor 6.

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 + 6x2 + x3)' equal to zero and attempt to solve:

Simplifying
-7 + 6x2 + x3 = 0

Solving
-7 + 6x2 + x3 = 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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