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

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


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

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

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

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

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

Combine like terms: 4x + -6x = -2x
(-24 + -2x + x2)(6 + 9x) = 0

Multiply (-24 + -2x + x2) * (6 + 9x)
(-24(6 + 9x) + -2x * (6 + 9x) + x2(6 + 9x)) = 0
((6 * -24 + 9x * -24) + -2x * (6 + 9x) + x2(6 + 9x)) = 0
((-144 + -216x) + -2x * (6 + 9x) + x2(6 + 9x)) = 0
(-144 + -216x + (6 * -2x + 9x * -2x) + x2(6 + 9x)) = 0
(-144 + -216x + (-12x + -18x2) + x2(6 + 9x)) = 0
(-144 + -216x + -12x + -18x2 + (6 * x2 + 9x * x2)) = 0
(-144 + -216x + -12x + -18x2 + (6x2 + 9x3)) = 0

Combine like terms: -216x + -12x = -228x
(-144 + -228x + -18x2 + 6x2 + 9x3) = 0

Combine like terms: -18x2 + 6x2 = -12x2
(-144 + -228x + -12x2 + 9x3) = 0

Solving
-144 + -228x + -12x2 + 9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-48 + -76x + -4x2 + 3x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-48 + -76x + -4x2 + 3x3)' equal to zero and attempt to solve: Simplifying -48 + -76x + -4x2 + 3x3 = 0 Solving -48 + -76x + -4x2 + 3x3 = 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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