(-x^2+3x)(2x^2+7)(5x-4)=

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Solution for (-x^2+3x)(2x^2+7)(5x-4)= equation: 


Simplifying
(-1x2 + 3x)(2x2 + 7)(5x + -4) = 0

Reorder the terms:
(3x + -1x2)(2x2 + 7)(5x + -4) = 0

Reorder the terms:
(3x + -1x2)(7 + 2x2)(5x + -4) = 0

Reorder the terms:
(3x + -1x2)(7 + 2x2)(-4 + 5x) = 0

Multiply (3x + -1x2) * (7 + 2x2)
(3x * (7 + 2x2) + -1x2 * (7 + 2x2))(-4 + 5x) = 0
((7 * 3x + 2x2 * 3x) + -1x2 * (7 + 2x2))(-4 + 5x) = 0
((21x + 6x3) + -1x2 * (7 + 2x2))(-4 + 5x) = 0
(21x + 6x3 + (7 * -1x2 + 2x2 * -1x2))(-4 + 5x) = 0
(21x + 6x3 + (-7x2 + -2x4))(-4 + 5x) = 0

Reorder the terms:
(21x + -7x2 + 6x3 + -2x4)(-4 + 5x) = 0
(21x + -7x2 + 6x3 + -2x4)(-4 + 5x) = 0

Multiply (21x + -7x2 + 6x3 + -2x4) * (-4 + 5x)
(21x * (-4 + 5x) + -7x2 * (-4 + 5x) + 6x3 * (-4 + 5x) + -2x4 * (-4 + 5x)) = 0
((-4 * 21x + 5x * 21x) + -7x2 * (-4 + 5x) + 6x3 * (-4 + 5x) + -2x4 * (-4 + 5x)) = 0
((-84x + 105x2) + -7x2 * (-4 + 5x) + 6x3 * (-4 + 5x) + -2x4 * (-4 + 5x)) = 0
(-84x + 105x2 + (-4 * -7x2 + 5x * -7x2) + 6x3 * (-4 + 5x) + -2x4 * (-4 + 5x)) = 0
(-84x + 105x2 + (28x2 + -35x3) + 6x3 * (-4 + 5x) + -2x4 * (-4 + 5x)) = 0
(-84x + 105x2 + 28x2 + -35x3 + (-4 * 6x3 + 5x * 6x3) + -2x4 * (-4 + 5x)) = 0
(-84x + 105x2 + 28x2 + -35x3 + (-24x3 + 30x4) + -2x4 * (-4 + 5x)) = 0
(-84x + 105x2 + 28x2 + -35x3 + -24x3 + 30x4 + (-4 * -2x4 + 5x * -2x4)) = 0
(-84x + 105x2 + 28x2 + -35x3 + -24x3 + 30x4 + (8x4 + -10x5)) = 0

Combine like terms: 105x2 + 28x2 = 133x2
(-84x + 133x2 + -35x3 + -24x3 + 30x4 + 8x4 + -10x5) = 0

Combine like terms: -35x3 + -24x3 = -59x3
(-84x + 133x2 + -59x3 + 30x4 + 8x4 + -10x5) = 0

Combine like terms: 30x4 + 8x4 = 38x4
(-84x + 133x2 + -59x3 + 38x4 + -10x5) = 0

Solving
-84x + 133x2 + -59x3 + 38x4 + -10x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-84 + 133x + -59x2 + 38x3 + -10x4) = 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 '(-84 + 133x + -59x2 + 38x3 + -10x4)' equal to zero and attempt to solve:

Simplifying
-84 + 133x + -59x2 + 38x3 + -10x4 = 0

Solving
-84 + 133x + -59x2 + 38x3 + -10x4 = 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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