(3x)(x^3-4x^2+5x-3)=0

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Solution for (3x)(x^3-4x^2+5x-3)=0 equation: 


Simplifying
(3x)(x3 + -4x2 + 5x + -3) = 0

Remove parenthesis around (3x)
3x(x3 + -4x2 + 5x + -3) = 0

Reorder the terms:
3x(-3 + 5x + -4x2 + x3) = 0
(-3 * 3x + 5x * 3x + -4x2 * 3x + x3 * 3x) = 0
(-9x + 15x2 + -12x3 + 3x4) = 0

Solving
-9x + 15x2 + -12x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-3 + 5x + -4x2 + x3) = 0

Ignore the factor 3.

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 + 5x + -4x2 + x3)' equal to zero and attempt to solve:

Simplifying
-3 + 5x + -4x2 + x3 = 0

Solving
-3 + 5x + -4x2 + 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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