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

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


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

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

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

Multiply (-6 + 6x) * (6 + -3x + x2)
(-6(6 + -3x + x2) + 6x * (6 + -3x + x2)) = 0
((6 * -6 + -3x * -6 + x2 * -6) + 6x * (6 + -3x + x2)) = 0
((-36 + 18x + -6x2) + 6x * (6 + -3x + x2)) = 0
(-36 + 18x + -6x2 + (6 * 6x + -3x * 6x + x2 * 6x)) = 0
(-36 + 18x + -6x2 + (36x + -18x2 + 6x3)) = 0

Reorder the terms:
(-36 + 18x + 36x + -6x2 + -18x2 + 6x3) = 0

Combine like terms: 18x + 36x = 54x
(-36 + 54x + -6x2 + -18x2 + 6x3) = 0

Combine like terms: -6x2 + -18x2 = -24x2
(-36 + 54x + -24x2 + 6x3) = 0

Solving
-36 + 54x + -24x2 + 6x3 = 0

Solving for variable 'x'.

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

Ignore the factor 6.

Subproblem 1

Set the factor '(-6 + 9x + -4x2 + x3)' equal to zero and attempt to solve: Simplifying -6 + 9x + -4x2 + x3 = 0 Solving -6 + 9x + -4x2 + x3 = 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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