(2x^2+3x-4)x(2x-3)=

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Solution for (2x^2+3x-4)x(2x-3)= equation: 


Simplifying
(2x2 + 3x + -4) * x(2x + -3) = 0

Reorder the terms:
(-4 + 3x + 2x2) * x(2x + -3) = 0

Reorder the terms:
(-4 + 3x + 2x2) * x(-3 + 2x) = 0

Reorder the terms for easier multiplication:
x(-4 + 3x + 2x2)(-3 + 2x) = 0

Multiply (-4 + 3x + 2x2) * (-3 + 2x)
x(-4(-3 + 2x) + 3x * (-3 + 2x) + 2x2 * (-3 + 2x)) = 0
x((-3 * -4 + 2x * -4) + 3x * (-3 + 2x) + 2x2 * (-3 + 2x)) = 0
x((12 + -8x) + 3x * (-3 + 2x) + 2x2 * (-3 + 2x)) = 0
x(12 + -8x + (-3 * 3x + 2x * 3x) + 2x2 * (-3 + 2x)) = 0
x(12 + -8x + (-9x + 6x2) + 2x2 * (-3 + 2x)) = 0
x(12 + -8x + -9x + 6x2 + (-3 * 2x2 + 2x * 2x2)) = 0
x(12 + -8x + -9x + 6x2 + (-6x2 + 4x3)) = 0

Combine like terms: -8x + -9x = -17x
x(12 + -17x + 6x2 + -6x2 + 4x3) = 0

Combine like terms: 6x2 + -6x2 = 0
x(12 + -17x + 0 + 4x3) = 0
x(12 + -17x + 4x3) = 0
(12 * x + -17x * x + 4x3 * x) = 0
(12x + -17x2 + 4x4) = 0

Solving
12x + -17x2 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + -17x + 4x3) = 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 '(12 + -17x + 4x3)' equal to zero and attempt to solve:

Simplifying
12 + -17x + 4x3 = 0

Solving
12 + -17x + 4x3 = 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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