(5x-5)(6x^2+24x+18)=0

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Solution for (5x-5)(6x^2+24x+18)=0 equation:


Simplifying
(5x + -5)(6x2 + 24x + 18) = 0

Reorder the terms:
(-5 + 5x)(6x2 + 24x + 18) = 0

Reorder the terms:
(-5 + 5x)(18 + 24x + 6x2) = 0

Multiply (-5 + 5x) * (18 + 24x + 6x2)
(-5(18 + 24x + 6x2) + 5x * (18 + 24x + 6x2)) = 0
((18 * -5 + 24x * -5 + 6x2 * -5) + 5x * (18 + 24x + 6x2)) = 0
((-90 + -120x + -30x2) + 5x * (18 + 24x + 6x2)) = 0
(-90 + -120x + -30x2 + (18 * 5x + 24x * 5x + 6x2 * 5x)) = 0
(-90 + -120x + -30x2 + (90x + 120x2 + 30x3)) = 0

Reorder the terms:
(-90 + -120x + 90x + -30x2 + 120x2 + 30x3) = 0

Combine like terms: -120x + 90x = -30x
(-90 + -30x + -30x2 + 120x2 + 30x3) = 0

Combine like terms: -30x2 + 120x2 = 90x2
(-90 + -30x + 90x2 + 30x3) = 0

Solving
-90 + -30x + 90x2 + 30x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '30'.
30(-3 + -1x + 3x2 + x3) = 0

Ignore the factor 30.

Subproblem 1

Set the factor '(-3 + -1x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying -3 + -1x + 3x2 + x3 = 0 Solving -3 + -1x + 3x2 + 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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