(3x^2-3x+9)(2x-3)=0

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


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

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

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

Multiply (9 + -3x + 3x2) * (-3 + 2x)
(9(-3 + 2x) + -3x * (-3 + 2x) + 3x2 * (-3 + 2x)) = 0
((-3 * 9 + 2x * 9) + -3x * (-3 + 2x) + 3x2 * (-3 + 2x)) = 0
((-27 + 18x) + -3x * (-3 + 2x) + 3x2 * (-3 + 2x)) = 0
(-27 + 18x + (-3 * -3x + 2x * -3x) + 3x2 * (-3 + 2x)) = 0
(-27 + 18x + (9x + -6x2) + 3x2 * (-3 + 2x)) = 0
(-27 + 18x + 9x + -6x2 + (-3 * 3x2 + 2x * 3x2)) = 0
(-27 + 18x + 9x + -6x2 + (-9x2 + 6x3)) = 0

Combine like terms: 18x + 9x = 27x
(-27 + 27x + -6x2 + -9x2 + 6x3) = 0

Combine like terms: -6x2 + -9x2 = -15x2
(-27 + 27x + -15x2 + 6x3) = 0

Solving
-27 + 27x + -15x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-9 + 9x + -5x2 + 2x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-9 + 9x + -5x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-9 + 9x + -5x2 + 2x3 = 0

Solving
-9 + 9x + -5x2 + 2x3 = 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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