(-5x^3-6x)(3x+7)=

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Solution for (-5x^3-6x)(3x+7)= equation: 


Simplifying
(-5x3 + -6x)(3x + 7) = 0

Reorder the terms:
(-6x + -5x3)(3x + 7) = 0

Reorder the terms:
(-6x + -5x3)(7 + 3x) = 0

Multiply (-6x + -5x3) * (7 + 3x)
(-6x * (7 + 3x) + -5x3 * (7 + 3x)) = 0
((7 * -6x + 3x * -6x) + -5x3 * (7 + 3x)) = 0
((-42x + -18x2) + -5x3 * (7 + 3x)) = 0
(-42x + -18x2 + (7 * -5x3 + 3x * -5x3)) = 0
(-42x + -18x2 + (-35x3 + -15x4)) = 0
(-42x + -18x2 + -35x3 + -15x4) = 0

Solving
-42x + -18x2 + -35x3 + -15x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(42 + 18x + 35x2 + 15x3) = 0

Ignore the factor -1.

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 '(42 + 18x + 35x2 + 15x3)' equal to zero and attempt to solve:

Simplifying
42 + 18x + 35x2 + 15x3 = 0

Solving
42 + 18x + 35x2 + 15x3 = 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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