(-3X^2+5X+2)(4X^2-3X)=0

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Solution for (-3X^2+5X+2)(4X^2-3X)=0 equation: 


Simplifying
(-3X2 + 5X + 2)(4X2 + -3X) = 0

Reorder the terms:
(2 + 5X + -3X2)(4X2 + -3X) = 0

Reorder the terms:
(2 + 5X + -3X2)(-3X + 4X2) = 0

Multiply (2 + 5X + -3X2) * (-3X + 4X2)
(2(-3X + 4X2) + 5X * (-3X + 4X2) + -3X2 * (-3X + 4X2)) = 0
((-3X * 2 + 4X2 * 2) + 5X * (-3X + 4X2) + -3X2 * (-3X + 4X2)) = 0
((-6X + 8X2) + 5X * (-3X + 4X2) + -3X2 * (-3X + 4X2)) = 0
(-6X + 8X2 + (-3X * 5X + 4X2 * 5X) + -3X2 * (-3X + 4X2)) = 0
(-6X + 8X2 + (-15X2 + 20X3) + -3X2 * (-3X + 4X2)) = 0
(-6X + 8X2 + -15X2 + 20X3 + (-3X * -3X2 + 4X2 * -3X2)) = 0
(-6X + 8X2 + -15X2 + 20X3 + (9X3 + -12X4)) = 0

Combine like terms: 8X2 + -15X2 = -7X2
(-6X + -7X2 + 20X3 + 9X3 + -12X4) = 0

Combine like terms: 20X3 + 9X3 = 29X3
(-6X + -7X2 + 29X3 + -12X4) = 0

Solving
-6X + -7X2 + 29X3 + -12X4 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(-6 + -7X + 29X2 + -12X3) = 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 '(-6 + -7X + 29X2 + -12X3)' equal to zero and attempt to solve:

Simplifying
-6 + -7X + 29X2 + -12X3 = 0

Solving
-6 + -7X + 29X2 + -12X3 = 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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