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

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


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

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

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

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

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

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

Combine like terms: -4x3 + 9x3 = 5x3
(-2x + -3x2 + 5x3 + 6x4) = 0

Solving
-2x + -3x2 + 5x3 + 6x4 = 0

Solving for variable 'x'.

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

Simplifying
-2 + -3x + 5x2 + 6x3 = 0

Solving
-2 + -3x + 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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