(3x^3+4x^2-5x+8)(-5x)=

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Solution for (3x^3+4x^2-5x+8)(-5x)= equation: 


Simplifying
(3x3 + 4x2 + -5x + 8)(-5x) = 0

Reorder the terms:
(8 + -5x + 4x2 + 3x3)(-5x) = 0

Remove parenthesis around (-5x)
(8 + -5x + 4x2 + 3x3) * -5x = 0

Reorder the terms for easier multiplication:
-5x(8 + -5x + 4x2 + 3x3) = 0
(8 * -5x + -5x * -5x + 4x2 * -5x + 3x3 * -5x) = 0
(-40x + 25x2 + -20x3 + -15x4) = 0

Solving
-40x + 25x2 + -20x3 + -15x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-8 + 5x + -4x2 + -3x3) = 0

Ignore the factor 5.

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 '(-8 + 5x + -4x2 + -3x3)' equal to zero and attempt to solve:

Simplifying
-8 + 5x + -4x2 + -3x3 = 0

Solving
-8 + 5x + -4x2 + -3x3 = 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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