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

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


Simplifying
10x(5x3 + 3x + -8) = 0

Reorder the terms:
10x(-8 + 3x + 5x3) = 0
(-8 * 10x + 3x * 10x + 5x3 * 10x) = 0
(-80x + 30x2 + 50x4) = 0

Solving
-80x + 30x2 + 50x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x'.
10x(-8 + 3x + 5x3) = 0

Ignore the factor 10.

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 '(-8 + 3x + 5x3)' equal to zero and attempt to solve:

Simplifying
-8 + 3x + 5x3 = 0

Solving
-8 + 3x + 5x3 = 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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