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

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


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

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

Reorder the terms:
-30x3 + 10x4 + -5x(-3 + x) = 0
-30x3 + 10x4 + (-3 * -5x + x * -5x) = 0
-30x3 + 10x4 + (15x + -5x2) = 0

Reorder the terms:
15x + -5x2 + -30x3 + 10x4 = 0

Solving
15x + -5x2 + -30x3 + 10x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(3 + -1x + -6x2 + 2x3) = 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 '(3 + -1x + -6x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
3 + -1x + -6x2 + 2x3 = 0

Solving
3 + -1x + -6x2 + 2x3 = 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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