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

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


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

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

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

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

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

Combine like terms: 6x2 + 2x2 = 8x2
(-4x + 8x2 + -3x3)(5 + 2x2) = 0

Multiply (-4x + 8x2 + -3x3) * (5 + 2x2)
(-4x * (5 + 2x2) + 8x2 * (5 + 2x2) + -3x3 * (5 + 2x2)) = 0
((5 * -4x + 2x2 * -4x) + 8x2 * (5 + 2x2) + -3x3 * (5 + 2x2)) = 0
((-20x + -8x3) + 8x2 * (5 + 2x2) + -3x3 * (5 + 2x2)) = 0
(-20x + -8x3 + (5 * 8x2 + 2x2 * 8x2) + -3x3 * (5 + 2x2)) = 0
(-20x + -8x3 + (40x2 + 16x4) + -3x3 * (5 + 2x2)) = 0
(-20x + -8x3 + 40x2 + 16x4 + (5 * -3x3 + 2x2 * -3x3)) = 0
(-20x + -8x3 + 40x2 + 16x4 + (-15x3 + -6x5)) = 0

Reorder the terms:
(-20x + 40x2 + -8x3 + -15x3 + 16x4 + -6x5) = 0

Combine like terms: -8x3 + -15x3 = -23x3
(-20x + 40x2 + -23x3 + 16x4 + -6x5) = 0

Solving
-20x + 40x2 + -23x3 + 16x4 + -6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20 + 40x + -23x2 + 16x3 + -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 '(-20 + 40x + -23x2 + 16x3 + -6x4)' equal to zero and attempt to solve:

Simplifying
-20 + 40x + -23x2 + 16x3 + -6x4 = 0

Solving
-20 + 40x + -23x2 + 16x3 + -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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