(3x^2-4x)(2x^3+3x-1)=0

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Solution for (3x^2-4x)(2x^3+3x-1)=0 equation: 


Simplifying
(3x2 + -4x)(2x3 + 3x + -1) = 0

Reorder the terms:
(-4x + 3x2)(2x3 + 3x + -1) = 0

Reorder the terms:
(-4x + 3x2)(-1 + 3x + 2x3) = 0

Multiply (-4x + 3x2) * (-1 + 3x + 2x3)
(-4x * (-1 + 3x + 2x3) + 3x2 * (-1 + 3x + 2x3)) = 0
((-1 * -4x + 3x * -4x + 2x3 * -4x) + 3x2 * (-1 + 3x + 2x3)) = 0
((4x + -12x2 + -8x4) + 3x2 * (-1 + 3x + 2x3)) = 0
(4x + -12x2 + -8x4 + (-1 * 3x2 + 3x * 3x2 + 2x3 * 3x2)) = 0
(4x + -12x2 + -8x4 + (-3x2 + 9x3 + 6x5)) = 0

Reorder the terms:
(4x + -12x2 + -3x2 + 9x3 + -8x4 + 6x5) = 0

Combine like terms: -12x2 + -3x2 = -15x2
(4x + -15x2 + 9x3 + -8x4 + 6x5) = 0

Solving
4x + -15x2 + 9x3 + -8x4 + 6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -15x + 9x2 + -8x3 + 6x4) = 0


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 '(4 + -15x + 9x2 + -8x3 + 6x4)' equal to zero and attempt to solve:

Simplifying
4 + -15x + 9x2 + -8x3 + 6x4 = 0

Solving
4 + -15x + 9x2 + -8x3 + 6x4 = 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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