(-x^2+5x)(3x^2+4)(2x-3)=

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


Simplifying
(-1x2 + 5x)(3x2 + 4)(2x + -3) = 0

Reorder the terms:
(5x + -1x2)(3x2 + 4)(2x + -3) = 0

Reorder the terms:
(5x + -1x2)(4 + 3x2)(2x + -3) = 0

Reorder the terms:
(5x + -1x2)(4 + 3x2)(-3 + 2x) = 0

Multiply (5x + -1x2) * (4 + 3x2)
(5x * (4 + 3x2) + -1x2 * (4 + 3x2))(-3 + 2x) = 0
((4 * 5x + 3x2 * 5x) + -1x2 * (4 + 3x2))(-3 + 2x) = 0
((20x + 15x3) + -1x2 * (4 + 3x2))(-3 + 2x) = 0
(20x + 15x3 + (4 * -1x2 + 3x2 * -1x2))(-3 + 2x) = 0
(20x + 15x3 + (-4x2 + -3x4))(-3 + 2x) = 0

Reorder the terms:
(20x + -4x2 + 15x3 + -3x4)(-3 + 2x) = 0
(20x + -4x2 + 15x3 + -3x4)(-3 + 2x) = 0

Multiply (20x + -4x2 + 15x3 + -3x4) * (-3 + 2x)
(20x * (-3 + 2x) + -4x2 * (-3 + 2x) + 15x3 * (-3 + 2x) + -3x4 * (-3 + 2x)) = 0
((-3 * 20x + 2x * 20x) + -4x2 * (-3 + 2x) + 15x3 * (-3 + 2x) + -3x4 * (-3 + 2x)) = 0
((-60x + 40x2) + -4x2 * (-3 + 2x) + 15x3 * (-3 + 2x) + -3x4 * (-3 + 2x)) = 0
(-60x + 40x2 + (-3 * -4x2 + 2x * -4x2) + 15x3 * (-3 + 2x) + -3x4 * (-3 + 2x)) = 0
(-60x + 40x2 + (12x2 + -8x3) + 15x3 * (-3 + 2x) + -3x4 * (-3 + 2x)) = 0
(-60x + 40x2 + 12x2 + -8x3 + (-3 * 15x3 + 2x * 15x3) + -3x4 * (-3 + 2x)) = 0
(-60x + 40x2 + 12x2 + -8x3 + (-45x3 + 30x4) + -3x4 * (-3 + 2x)) = 0
(-60x + 40x2 + 12x2 + -8x3 + -45x3 + 30x4 + (-3 * -3x4 + 2x * -3x4)) = 0
(-60x + 40x2 + 12x2 + -8x3 + -45x3 + 30x4 + (9x4 + -6x5)) = 0

Combine like terms: 40x2 + 12x2 = 52x2
(-60x + 52x2 + -8x3 + -45x3 + 30x4 + 9x4 + -6x5) = 0

Combine like terms: -8x3 + -45x3 = -53x3
(-60x + 52x2 + -53x3 + 30x4 + 9x4 + -6x5) = 0

Combine like terms: 30x4 + 9x4 = 39x4
(-60x + 52x2 + -53x3 + 39x4 + -6x5) = 0

Solving
-60x + 52x2 + -53x3 + 39x4 + -6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-60 + 52x + -53x2 + 39x3 + -6x4) = 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 '(-60 + 52x + -53x2 + 39x3 + -6x4)' equal to zero and attempt to solve:

Simplifying
-60 + 52x + -53x2 + 39x3 + -6x4 = 0

Solving
-60 + 52x + -53x2 + 39x3 + -6x4 = 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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