(x^2-4)(2x^2+6)(3x-9)=0

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Solution for (x^2-4)(2x^2+6)(3x-9)=0 equation: 


Simplifying
(x2 + -4)(2x2 + 6)(3x + -9) = 0

Reorder the terms:
(-4 + x2)(2x2 + 6)(3x + -9) = 0

Reorder the terms:
(-4 + x2)(6 + 2x2)(3x + -9) = 0

Reorder the terms:
(-4 + x2)(6 + 2x2)(-9 + 3x) = 0

Multiply (-4 + x2) * (6 + 2x2)
(-4(6 + 2x2) + x2(6 + 2x2))(-9 + 3x) = 0
((6 * -4 + 2x2 * -4) + x2(6 + 2x2))(-9 + 3x) = 0
((-24 + -8x2) + x2(6 + 2x2))(-9 + 3x) = 0
(-24 + -8x2 + (6 * x2 + 2x2 * x2))(-9 + 3x) = 0
(-24 + -8x2 + (6x2 + 2x4))(-9 + 3x) = 0

Combine like terms: -8x2 + 6x2 = -2x2
(-24 + -2x2 + 2x4)(-9 + 3x) = 0

Multiply (-24 + -2x2 + 2x4) * (-9 + 3x)
(-24(-9 + 3x) + -2x2 * (-9 + 3x) + 2x4 * (-9 + 3x)) = 0
((-9 * -24 + 3x * -24) + -2x2 * (-9 + 3x) + 2x4 * (-9 + 3x)) = 0
((216 + -72x) + -2x2 * (-9 + 3x) + 2x4 * (-9 + 3x)) = 0
(216 + -72x + (-9 * -2x2 + 3x * -2x2) + 2x4 * (-9 + 3x)) = 0
(216 + -72x + (18x2 + -6x3) + 2x4 * (-9 + 3x)) = 0
(216 + -72x + 18x2 + -6x3 + (-9 * 2x4 + 3x * 2x4)) = 0
(216 + -72x + 18x2 + -6x3 + (-18x4 + 6x5)) = 0
(216 + -72x + 18x2 + -6x3 + -18x4 + 6x5) = 0

Solving
216 + -72x + 18x2 + -6x3 + -18x4 + 6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(36 + -12x + 3x2 + -1x3 + -3x4 + x5) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(36 + -12x + 3x2 + -1x3 + -3x4 + x5)' equal to zero and attempt to solve:

Simplifying
36 + -12x + 3x2 + -1x3 + -3x4 + x5 = 0

Solving
36 + -12x + 3x2 + -1x3 + -3x4 + x5 = 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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