(4x^3-8x^2+x-5)(x^2+6x)=0

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Solution for (4x^3-8x^2+x-5)(x^2+6x)=0 equation: 


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

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

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

Multiply (-5 + x + -8x2 + 4x3) * (6x + x2)
(-5(6x + x2) + x(6x + x2) + -8x2 * (6x + x2) + 4x3 * (6x + x2)) = 0
((6x * -5 + x2 * -5) + x(6x + x2) + -8x2 * (6x + x2) + 4x3 * (6x + x2)) = 0
((-30x + -5x2) + x(6x + x2) + -8x2 * (6x + x2) + 4x3 * (6x + x2)) = 0
(-30x + -5x2 + (6x * x + x2 * x) + -8x2 * (6x + x2) + 4x3 * (6x + x2)) = 0
(-30x + -5x2 + (6x2 + x3) + -8x2 * (6x + x2) + 4x3 * (6x + x2)) = 0
(-30x + -5x2 + 6x2 + x3 + (6x * -8x2 + x2 * -8x2) + 4x3 * (6x + x2)) = 0
(-30x + -5x2 + 6x2 + x3 + (-48x3 + -8x4) + 4x3 * (6x + x2)) = 0
(-30x + -5x2 + 6x2 + x3 + -48x3 + -8x4 + (6x * 4x3 + x2 * 4x3)) = 0
(-30x + -5x2 + 6x2 + x3 + -48x3 + -8x4 + (24x4 + 4x5)) = 0

Combine like terms: -5x2 + 6x2 = 1x2
(-30x + 1x2 + x3 + -48x3 + -8x4 + 24x4 + 4x5) = 0

Combine like terms: x3 + -48x3 = -47x3
(-30x + 1x2 + -47x3 + -8x4 + 24x4 + 4x5) = 0

Combine like terms: -8x4 + 24x4 = 16x4
(-30x + 1x2 + -47x3 + 16x4 + 4x5) = 0

Solving
-30x + 1x2 + -47x3 + 16x4 + 4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30 + x + -47x2 + 16x3 + 4x4) = 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 '(-30 + x + -47x2 + 16x3 + 4x4)' equal to zero and attempt to solve:

Simplifying
-30 + x + -47x2 + 16x3 + 4x4 = 0

Solving
-30 + x + -47x2 + 16x3 + 4x4 = 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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