(x^2+6x)(5x^2-1)=0

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Solution for (x^2+6x)(5x^2-1)=0 equation: 


Simplifying
(x2 + 6x)(5x2 + -1) = 0

Reorder the terms:
(6x + x2)(5x2 + -1) = 0

Reorder the terms:
(6x + x2)(-1 + 5x2) = 0

Multiply (6x + x2) * (-1 + 5x2)
(6x * (-1 + 5x2) + x2(-1 + 5x2)) = 0
((-1 * 6x + 5x2 * 6x) + x2(-1 + 5x2)) = 0
((-6x + 30x3) + x2(-1 + 5x2)) = 0
(-6x + 30x3 + (-1 * x2 + 5x2 * x2)) = 0
(-6x + 30x3 + (-1x2 + 5x4)) = 0

Reorder the terms:
(-6x + -1x2 + 30x3 + 5x4) = 0
(-6x + -1x2 + 30x3 + 5x4) = 0

Solving
-6x + -1x2 + 30x3 + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + -1x + 30x2 + 5x3) = 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 '(-6 + -1x + 30x2 + 5x3)' equal to zero and attempt to solve:

Simplifying
-6 + -1x + 30x2 + 5x3 = 0

Solving
-6 + -1x + 30x2 + 5x3 = 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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