5x(x^3+6x^2-8x+10)=0

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Solution for 5x(x^3+6x^2-8x+10)=0 equation: 


Simplifying
5x(x3 + 6x2 + -8x + 10) = 0

Reorder the terms:
5x(10 + -8x + 6x2 + x3) = 0
(10 * 5x + -8x * 5x + 6x2 * 5x + x3 * 5x) = 0
(50x + -40x2 + 30x3 + 5x4) = 0

Solving
50x + -40x2 + 30x3 + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(10 + -8x + 6x2 + x3) = 0

Ignore the factor 5.

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 '(10 + -8x + 6x2 + x3)' equal to zero and attempt to solve:

Simplifying
10 + -8x + 6x2 + x3 = 0

Solving
10 + -8x + 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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