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

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


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

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

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

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

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

Combine like terms: -8x + 2x = -6x
-3(-4 + -6x + 4x2)(-9 + 3x) = 0

Multiply (-4 + -6x + 4x2) * (-9 + 3x)
-3(-4(-9 + 3x) + -6x * (-9 + 3x) + 4x2 * (-9 + 3x)) = 0
-3((-9 * -4 + 3x * -4) + -6x * (-9 + 3x) + 4x2 * (-9 + 3x)) = 0
-3((36 + -12x) + -6x * (-9 + 3x) + 4x2 * (-9 + 3x)) = 0
-3(36 + -12x + (-9 * -6x + 3x * -6x) + 4x2 * (-9 + 3x)) = 0
-3(36 + -12x + (54x + -18x2) + 4x2 * (-9 + 3x)) = 0
-3(36 + -12x + 54x + -18x2 + (-9 * 4x2 + 3x * 4x2)) = 0
-3(36 + -12x + 54x + -18x2 + (-36x2 + 12x3)) = 0

Combine like terms: -12x + 54x = 42x
-3(36 + 42x + -18x2 + -36x2 + 12x3) = 0

Combine like terms: -18x2 + -36x2 = -54x2
-3(36 + 42x + -54x2 + 12x3) = 0
(36 * -3 + 42x * -3 + -54x2 * -3 + 12x3 * -3) = 0
(-108 + -126x + 162x2 + -36x3) = 0

Solving
-108 + -126x + 162x2 + -36x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18'.
18(-6 + -7x + 9x2 + -2x3) = 0

Ignore the factor 18.

Subproblem 1
Set the factor '(-6 + -7x + 9x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
-6 + -7x + 9x2 + -2x3 = 0

Solving
-6 + -7x + 9x2 + -2x3 = 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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