(4x-5)(2x-6)(3x-4)=0

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Solution for (4x-5)(2x-6)(3x-4)=0 equation: 


Simplifying
(4x + -5)(2x + -6)(3x + -4) = 0

Reorder the terms:
(-5 + 4x)(2x + -6)(3x + -4) = 0

Reorder the terms:
(-5 + 4x)(-6 + 2x)(3x + -4) = 0

Reorder the terms:
(-5 + 4x)(-6 + 2x)(-4 + 3x) = 0

Multiply (-5 + 4x) * (-6 + 2x)
(-5(-6 + 2x) + 4x * (-6 + 2x))(-4 + 3x) = 0
((-6 * -5 + 2x * -5) + 4x * (-6 + 2x))(-4 + 3x) = 0
((30 + -10x) + 4x * (-6 + 2x))(-4 + 3x) = 0
(30 + -10x + (-6 * 4x + 2x * 4x))(-4 + 3x) = 0
(30 + -10x + (-24x + 8x2))(-4 + 3x) = 0

Combine like terms: -10x + -24x = -34x
(30 + -34x + 8x2)(-4 + 3x) = 0

Multiply (30 + -34x + 8x2) * (-4 + 3x)
(30(-4 + 3x) + -34x * (-4 + 3x) + 8x2 * (-4 + 3x)) = 0
((-4 * 30 + 3x * 30) + -34x * (-4 + 3x) + 8x2 * (-4 + 3x)) = 0
((-120 + 90x) + -34x * (-4 + 3x) + 8x2 * (-4 + 3x)) = 0
(-120 + 90x + (-4 * -34x + 3x * -34x) + 8x2 * (-4 + 3x)) = 0
(-120 + 90x + (136x + -102x2) + 8x2 * (-4 + 3x)) = 0
(-120 + 90x + 136x + -102x2 + (-4 * 8x2 + 3x * 8x2)) = 0
(-120 + 90x + 136x + -102x2 + (-32x2 + 24x3)) = 0

Combine like terms: 90x + 136x = 226x
(-120 + 226x + -102x2 + -32x2 + 24x3) = 0

Combine like terms: -102x2 + -32x2 = -134x2
(-120 + 226x + -134x2 + 24x3) = 0

Solving
-120 + 226x + -134x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-60 + 113x + -67x2 + 12x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-60 + 113x + -67x2 + 12x3)' equal to zero and attempt to solve:

Simplifying
-60 + 113x + -67x2 + 12x3 = 0

Solving
-60 + 113x + -67x2 + 12x3 = 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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