(v^2-9v+18)(3v+27)=0

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Solution for (v^2-9v+18)(3v+27)=0 equation:


Simplifying
(v2 + -9v + 18)(3v + 27) = 0

Reorder the terms:
(18 + -9v + v2)(3v + 27) = 0

Reorder the terms:
(18 + -9v + v2)(27 + 3v) = 0

Multiply (18 + -9v + v2) * (27 + 3v)
(18(27 + 3v) + -9v * (27 + 3v) + v2(27 + 3v)) = 0
((27 * 18 + 3v * 18) + -9v * (27 + 3v) + v2(27 + 3v)) = 0
((486 + 54v) + -9v * (27 + 3v) + v2(27 + 3v)) = 0
(486 + 54v + (27 * -9v + 3v * -9v) + v2(27 + 3v)) = 0
(486 + 54v + (-243v + -27v2) + v2(27 + 3v)) = 0
(486 + 54v + -243v + -27v2 + (27 * v2 + 3v * v2)) = 0
(486 + 54v + -243v + -27v2 + (27v2 + 3v3)) = 0

Combine like terms: 54v + -243v = -189v
(486 + -189v + -27v2 + 27v2 + 3v3) = 0

Combine like terms: -27v2 + 27v2 = 0
(486 + -189v + 0 + 3v3) = 0
(486 + -189v + 3v3) = 0

Solving
486 + -189v + 3v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(162 + -63v + v3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(162 + -63v + v3)' equal to zero and attempt to solve: Simplifying 162 + -63v + v3 = 0 Solving 162 + -63v + 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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