(-6x^3+4x^2+8x)(-3x-5)=

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Solution for (-6x^3+4x^2+8x)(-3x-5)= equation: 


Simplifying
(-6x3 + 4x2 + 8x)(-3x + -5) = 0

Reorder the terms:
(8x + 4x2 + -6x3)(-3x + -5) = 0

Reorder the terms:
(8x + 4x2 + -6x3)(-5 + -3x) = 0

Multiply (8x + 4x2 + -6x3) * (-5 + -3x)
(8x * (-5 + -3x) + 4x2 * (-5 + -3x) + -6x3 * (-5 + -3x)) = 0
((-5 * 8x + -3x * 8x) + 4x2 * (-5 + -3x) + -6x3 * (-5 + -3x)) = 0
((-40x + -24x2) + 4x2 * (-5 + -3x) + -6x3 * (-5 + -3x)) = 0
(-40x + -24x2 + (-5 * 4x2 + -3x * 4x2) + -6x3 * (-5 + -3x)) = 0
(-40x + -24x2 + (-20x2 + -12x3) + -6x3 * (-5 + -3x)) = 0
(-40x + -24x2 + -20x2 + -12x3 + (-5 * -6x3 + -3x * -6x3)) = 0
(-40x + -24x2 + -20x2 + -12x3 + (30x3 + 18x4)) = 0

Combine like terms: -24x2 + -20x2 = -44x2
(-40x + -44x2 + -12x3 + 30x3 + 18x4) = 0

Combine like terms: -12x3 + 30x3 = 18x3
(-40x + -44x2 + 18x3 + 18x4) = 0

Solving
-40x + -44x2 + 18x3 + 18x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-20 + -22x + 9x2 + 9x3) = 0

Ignore the factor 2.

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 + -22x + 9x2 + 9x3)' equal to zero and attempt to solve:

Simplifying
-20 + -22x + 9x2 + 9x3 = 0

Solving
-20 + -22x + 9x2 + 9x3 = 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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