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

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


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

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

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

Multiply (-6 + 9x) * (-3 + 2x + 6x2)
(-6(-3 + 2x + 6x2) + 9x * (-3 + 2x + 6x2)) = 0
((-3 * -6 + 2x * -6 + 6x2 * -6) + 9x * (-3 + 2x + 6x2)) = 0
((18 + -12x + -36x2) + 9x * (-3 + 2x + 6x2)) = 0
(18 + -12x + -36x2 + (-3 * 9x + 2x * 9x + 6x2 * 9x)) = 0
(18 + -12x + -36x2 + (-27x + 18x2 + 54x3)) = 0

Reorder the terms:
(18 + -12x + -27x + -36x2 + 18x2 + 54x3) = 0

Combine like terms: -12x + -27x = -39x
(18 + -39x + -36x2 + 18x2 + 54x3) = 0

Combine like terms: -36x2 + 18x2 = -18x2
(18 + -39x + -18x2 + 54x3) = 0

Solving
18 + -39x + -18x2 + 54x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + -13x + -6x2 + 18x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(6 + -13x + -6x2 + 18x3)' equal to zero and attempt to solve: Simplifying 6 + -13x + -6x2 + 18x3 = 0 Solving 6 + -13x + -6x2 + 18x3 = 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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