2(4x^2-9)(3x-6)=0

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Solution for 2(4x^2-9)(3x-6)=0 equation: 


Simplifying
2(4x2 + -9)(3x + -6) = 0

Reorder the terms:
2(-9 + 4x2)(3x + -6) = 0

Reorder the terms:
2(-9 + 4x2)(-6 + 3x) = 0

Multiply (-9 + 4x2) * (-6 + 3x)
2(-9(-6 + 3x) + 4x2 * (-6 + 3x)) = 0
2((-6 * -9 + 3x * -9) + 4x2 * (-6 + 3x)) = 0
2((54 + -27x) + 4x2 * (-6 + 3x)) = 0
2(54 + -27x + (-6 * 4x2 + 3x * 4x2)) = 0
2(54 + -27x + (-24x2 + 12x3)) = 0
2(54 + -27x + -24x2 + 12x3) = 0
(54 * 2 + -27x * 2 + -24x2 * 2 + 12x3 * 2) = 0
(108 + -54x + -48x2 + 24x3) = 0

Solving
108 + -54x + -48x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(18 + -9x + -8x2 + 4x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(18 + -9x + -8x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
18 + -9x + -8x2 + 4x3 = 0

Solving
18 + -9x + -8x2 + 4x3 = 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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