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

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


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

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

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

Multiply (-3 + 6x + 3x2) * (5 + 6x + 3x2)
(-3(5 + 6x + 3x2) + 6x * (5 + 6x + 3x2) + 3x2 * (5 + 6x + 3x2)) = 0
((5 * -3 + 6x * -3 + 3x2 * -3) + 6x * (5 + 6x + 3x2) + 3x2 * (5 + 6x + 3x2)) = 0
((-15 + -18x + -9x2) + 6x * (5 + 6x + 3x2) + 3x2 * (5 + 6x + 3x2)) = 0
(-15 + -18x + -9x2 + (5 * 6x + 6x * 6x + 3x2 * 6x) + 3x2 * (5 + 6x + 3x2)) = 0
(-15 + -18x + -9x2 + (30x + 36x2 + 18x3) + 3x2 * (5 + 6x + 3x2)) = 0
(-15 + -18x + -9x2 + 30x + 36x2 + 18x3 + (5 * 3x2 + 6x * 3x2 + 3x2 * 3x2)) = 0
(-15 + -18x + -9x2 + 30x + 36x2 + 18x3 + (15x2 + 18x3 + 9x4)) = 0

Reorder the terms:
(-15 + -18x + 30x + -9x2 + 36x2 + 15x2 + 18x3 + 18x3 + 9x4) = 0

Combine like terms: -18x + 30x = 12x
(-15 + 12x + -9x2 + 36x2 + 15x2 + 18x3 + 18x3 + 9x4) = 0

Combine like terms: -9x2 + 36x2 = 27x2
(-15 + 12x + 27x2 + 15x2 + 18x3 + 18x3 + 9x4) = 0

Combine like terms: 27x2 + 15x2 = 42x2
(-15 + 12x + 42x2 + 18x3 + 18x3 + 9x4) = 0

Combine like terms: 18x3 + 18x3 = 36x3
(-15 + 12x + 42x2 + 36x3 + 9x4) = 0

Solving
-15 + 12x + 42x2 + 36x3 + 9x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 4x + 14x2 + 12x3 + 3x4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + 4x + 14x2 + 12x3 + 3x4)' equal to zero and attempt to solve:

Simplifying
-5 + 4x + 14x2 + 12x3 + 3x4 = 0

Solving
-5 + 4x + 14x2 + 12x3 + 3x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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