(3v+27)(v^2-v-6)=0

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Solution for (3v+27)(v^2-v-6)=0 equation:


Simplifying
(3v + 27)(v2 + -1v + -6) = 0

Reorder the terms:
(27 + 3v)(v2 + -1v + -6) = 0

Reorder the terms:
(27 + 3v)(-6 + -1v + v2) = 0

Multiply (27 + 3v) * (-6 + -1v + v2)
(27(-6 + -1v + v2) + 3v * (-6 + -1v + v2)) = 0
((-6 * 27 + -1v * 27 + v2 * 27) + 3v * (-6 + -1v + v2)) = 0
((-162 + -27v + 27v2) + 3v * (-6 + -1v + v2)) = 0
(-162 + -27v + 27v2 + (-6 * 3v + -1v * 3v + v2 * 3v)) = 0
(-162 + -27v + 27v2 + (-18v + -3v2 + 3v3)) = 0

Reorder the terms:
(-162 + -27v + -18v + 27v2 + -3v2 + 3v3) = 0

Combine like terms: -27v + -18v = -45v
(-162 + -45v + 27v2 + -3v2 + 3v3) = 0

Combine like terms: 27v2 + -3v2 = 24v2
(-162 + -45v + 24v2 + 3v3) = 0

Solving
-162 + -45v + 24v2 + 3v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-54 + -15v + 8v2 + v3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-54 + -15v + 8v2 + v3)' equal to zero and attempt to solve: Simplifying -54 + -15v + 8v2 + v3 = 0 Solving -54 + -15v + 8v2 + v3 = 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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