(v^2-7v+12)(2v+6)=0

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Solution for (v^2-7v+12)(2v+6)=0 equation:


Simplifying
(v2 + -7v + 12)(2v + 6) = 0

Reorder the terms:
(12 + -7v + v2)(2v + 6) = 0

Reorder the terms:
(12 + -7v + v2)(6 + 2v) = 0

Multiply (12 + -7v + v2) * (6 + 2v)
(12(6 + 2v) + -7v * (6 + 2v) + v2(6 + 2v)) = 0
((6 * 12 + 2v * 12) + -7v * (6 + 2v) + v2(6 + 2v)) = 0
((72 + 24v) + -7v * (6 + 2v) + v2(6 + 2v)) = 0
(72 + 24v + (6 * -7v + 2v * -7v) + v2(6 + 2v)) = 0
(72 + 24v + (-42v + -14v2) + v2(6 + 2v)) = 0
(72 + 24v + -42v + -14v2 + (6 * v2 + 2v * v2)) = 0
(72 + 24v + -42v + -14v2 + (6v2 + 2v3)) = 0

Combine like terms: 24v + -42v = -18v
(72 + -18v + -14v2 + 6v2 + 2v3) = 0

Combine like terms: -14v2 + 6v2 = -8v2
(72 + -18v + -8v2 + 2v3) = 0

Solving
72 + -18v + -8v2 + 2v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + -9v + -4v2 + v3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(36 + -9v + -4v2 + v3)' equal to zero and attempt to solve: Simplifying 36 + -9v + -4v2 + v3 = 0 Solving 36 + -9v + -4v2 + 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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