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

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