(X^2-3x)(2x^2-x)=0

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


Simplifying
(X2 + -3x)(2x2 + -1x) = 0

Reorder the terms:
(X2 + -3x)(-1x + 2x2) = 0

Multiply (X2 + -3x) * (-1x + 2x2)
(X2(-1x + 2x2) + -3x * (-1x + 2x2)) = 0
((-1x * X2 + 2x2 * X2) + -3x * (-1x + 2x2)) = 0
((-1xX2 + 2x2X2) + -3x * (-1x + 2x2)) = 0
(-1xX2 + 2x2X2 + (-1x * -3x + 2x2 * -3x)) = 0
(-1xX2 + 2x2X2 + (3x2 + -6x3)) = 0

Reorder the terms:
(-1xX2 + 3x2 + 2x2X2 + -6x3) = 0
(-1xX2 + 3x2 + 2x2X2 + -6x3) = 0

Solving
-1xX2 + 3x2 + 2x2X2 + -6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1X2 + 3x + 2xX2 + -6x2) = 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 '(-1X2 + 3x + 2xX2 + -6x2)' equal to zero and attempt to solve:

Simplifying
-1X2 + 3x + 2xX2 + -6x2 = 0

Solving
-1X2 + 3x + 2xX2 + -6x2 = 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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