(6x^2-8x)(x^2-9)=0

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Solution for (6x^2-8x)(x^2-9)=0 equation: 


Simplifying
(6x2 + -8x)(x2 + -9) = 0

Reorder the terms:
(-8x + 6x2)(x2 + -9) = 0

Reorder the terms:
(-8x + 6x2)(-9 + x2) = 0

Multiply (-8x + 6x2) * (-9 + x2)
(-8x * (-9 + x2) + 6x2 * (-9 + x2)) = 0
((-9 * -8x + x2 * -8x) + 6x2 * (-9 + x2)) = 0
((72x + -8x3) + 6x2 * (-9 + x2)) = 0
(72x + -8x3 + (-9 * 6x2 + x2 * 6x2)) = 0
(72x + -8x3 + (-54x2 + 6x4)) = 0

Reorder the terms:
(72x + -54x2 + -8x3 + 6x4) = 0
(72x + -54x2 + -8x3 + 6x4) = 0

Solving
72x + -54x2 + -8x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(36 + -27x + -4x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(36 + -27x + -4x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
36 + -27x + -4x2 + 3x3 = 0

Solving
36 + -27x + -4x2 + 3x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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