(x^3-7)(x^2+6x)=0

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Solution for (x^3-7)(x^2+6x)=0 equation: 


Simplifying
(x3 + -7)(x2 + 6x) = 0

Reorder the terms:
(-7 + x3)(x2 + 6x) = 0

Reorder the terms:
(-7 + x3)(6x + x2) = 0

Multiply (-7 + x3) * (6x + x2)
(-7(6x + x2) + x3(6x + x2)) = 0
((6x * -7 + x2 * -7) + x3(6x + x2)) = 0
((-42x + -7x2) + x3(6x + x2)) = 0
(-42x + -7x2 + (6x * x3 + x2 * x3)) = 0
(-42x + -7x2 + (6x4 + x5)) = 0
(-42x + -7x2 + 6x4 + x5) = 0

Solving
-42x + -7x2 + 6x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-42 + -7x + 6x3 + x4) = 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 '(-42 + -7x + 6x3 + x4)' equal to zero and attempt to solve:

Simplifying
-42 + -7x + 6x3 + x4 = 0

Solving
-42 + -7x + 6x3 + x4 = 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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