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

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


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

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

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

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

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

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

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

Reorder the terms:
(216 + 18x + -24x2 + -18x2 + -2x3 + 2x4) = 0

Combine like terms: -24x2 + -18x2 = -42x2
(216 + 18x + -42x2 + -2x3 + 2x4) = 0

Solving
216 + 18x + -42x2 + -2x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(108 + 9x + -21x2 + -1x3 + x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(108 + 9x + -21x2 + -1x3 + x4)' equal to zero and attempt to solve:

Simplifying
108 + 9x + -21x2 + -1x3 + x4 = 0

Solving
108 + 9x + -21x2 + -1x3 + x4 = 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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