(4x-6)(6x-3)(4x+3)=0

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


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

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

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

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

Multiply (-6 + 4x) * (-3 + 6x)
(-6(-3 + 6x) + 4x * (-3 + 6x))(3 + 4x) = 0
((-3 * -6 + 6x * -6) + 4x * (-3 + 6x))(3 + 4x) = 0
((18 + -36x) + 4x * (-3 + 6x))(3 + 4x) = 0
(18 + -36x + (-3 * 4x + 6x * 4x))(3 + 4x) = 0
(18 + -36x + (-12x + 24x2))(3 + 4x) = 0

Combine like terms: -36x + -12x = -48x
(18 + -48x + 24x2)(3 + 4x) = 0

Multiply (18 + -48x + 24x2) * (3 + 4x)
(18(3 + 4x) + -48x * (3 + 4x) + 24x2 * (3 + 4x)) = 0
((3 * 18 + 4x * 18) + -48x * (3 + 4x) + 24x2 * (3 + 4x)) = 0
((54 + 72x) + -48x * (3 + 4x) + 24x2 * (3 + 4x)) = 0
(54 + 72x + (3 * -48x + 4x * -48x) + 24x2 * (3 + 4x)) = 0
(54 + 72x + (-144x + -192x2) + 24x2 * (3 + 4x)) = 0
(54 + 72x + -144x + -192x2 + (3 * 24x2 + 4x * 24x2)) = 0
(54 + 72x + -144x + -192x2 + (72x2 + 96x3)) = 0

Combine like terms: 72x + -144x = -72x
(54 + -72x + -192x2 + 72x2 + 96x3) = 0

Combine like terms: -192x2 + 72x2 = -120x2
(54 + -72x + -120x2 + 96x3) = 0

Solving
54 + -72x + -120x2 + 96x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(9 + -12x + -20x2 + 16x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(9 + -12x + -20x2 + 16x3)' equal to zero and attempt to solve:

Simplifying
9 + -12x + -20x2 + 16x3 = 0

Solving
9 + -12x + -20x2 + 16x3 = 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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