(4x+1)(6x-9)(2x-8)=0

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Solution for (4x+1)(6x-9)(2x-8)=0 equation: 


Simplifying
(4x + 1)(6x + -9)(2x + -8) = 0

Reorder the terms:
(1 + 4x)(6x + -9)(2x + -8) = 0

Reorder the terms:
(1 + 4x)(-9 + 6x)(2x + -8) = 0

Reorder the terms:
(1 + 4x)(-9 + 6x)(-8 + 2x) = 0

Multiply (1 + 4x) * (-9 + 6x)
(1(-9 + 6x) + 4x * (-9 + 6x))(-8 + 2x) = 0
((-9 * 1 + 6x * 1) + 4x * (-9 + 6x))(-8 + 2x) = 0
((-9 + 6x) + 4x * (-9 + 6x))(-8 + 2x) = 0
(-9 + 6x + (-9 * 4x + 6x * 4x))(-8 + 2x) = 0
(-9 + 6x + (-36x + 24x2))(-8 + 2x) = 0

Combine like terms: 6x + -36x = -30x
(-9 + -30x + 24x2)(-8 + 2x) = 0

Multiply (-9 + -30x + 24x2) * (-8 + 2x)
(-9(-8 + 2x) + -30x * (-8 + 2x) + 24x2 * (-8 + 2x)) = 0
((-8 * -9 + 2x * -9) + -30x * (-8 + 2x) + 24x2 * (-8 + 2x)) = 0
((72 + -18x) + -30x * (-8 + 2x) + 24x2 * (-8 + 2x)) = 0
(72 + -18x + (-8 * -30x + 2x * -30x) + 24x2 * (-8 + 2x)) = 0
(72 + -18x + (240x + -60x2) + 24x2 * (-8 + 2x)) = 0
(72 + -18x + 240x + -60x2 + (-8 * 24x2 + 2x * 24x2)) = 0
(72 + -18x + 240x + -60x2 + (-192x2 + 48x3)) = 0

Combine like terms: -18x + 240x = 222x
(72 + 222x + -60x2 + -192x2 + 48x3) = 0

Combine like terms: -60x2 + -192x2 = -252x2
(72 + 222x + -252x2 + 48x3) = 0

Solving
72 + 222x + -252x2 + 48x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(12 + 37x + -42x2 + 8x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(12 + 37x + -42x2 + 8x3)' equal to zero and attempt to solve:

Simplifying
12 + 37x + -42x2 + 8x3 = 0

Solving
12 + 37x + -42x2 + 8x3 = 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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