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

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


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

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

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

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

Reorder the terms:
(3x + -6x2 + -2x2 + -9x3 + 4x3 + 6x4) = 0

Combine like terms: -6x2 + -2x2 = -8x2
(3x + -8x2 + -9x3 + 4x3 + 6x4) = 0

Combine like terms: -9x3 + 4x3 = -5x3
(3x + -8x2 + -5x3 + 6x4) = 0

Solving
3x + -8x2 + -5x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + -8x + -5x2 + 6x3) = 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 '(3 + -8x + -5x2 + 6x3)' equal to zero and attempt to solve:

Simplifying
3 + -8x + -5x2 + 6x3 = 0

Solving
3 + -8x + -5x2 + 6x3 = 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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