(v^2+4v-12)(2v-14)=0

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Solution for (v^2+4v-12)(2v-14)=0 equation:


Simplifying
(v2 + 4v + -12)(2v + -14) = 0

Reorder the terms:
(-12 + 4v + v2)(2v + -14) = 0

Reorder the terms:
(-12 + 4v + v2)(-14 + 2v) = 0

Multiply (-12 + 4v + v2) * (-14 + 2v)
(-12(-14 + 2v) + 4v * (-14 + 2v) + v2(-14 + 2v)) = 0
((-14 * -12 + 2v * -12) + 4v * (-14 + 2v) + v2(-14 + 2v)) = 0
((168 + -24v) + 4v * (-14 + 2v) + v2(-14 + 2v)) = 0
(168 + -24v + (-14 * 4v + 2v * 4v) + v2(-14 + 2v)) = 0
(168 + -24v + (-56v + 8v2) + v2(-14 + 2v)) = 0
(168 + -24v + -56v + 8v2 + (-14 * v2 + 2v * v2)) = 0
(168 + -24v + -56v + 8v2 + (-14v2 + 2v3)) = 0

Combine like terms: -24v + -56v = -80v
(168 + -80v + 8v2 + -14v2 + 2v3) = 0

Combine like terms: 8v2 + -14v2 = -6v2
(168 + -80v + -6v2 + 2v3) = 0

Solving
168 + -80v + -6v2 + 2v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(84 + -40v + -3v2 + v3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(84 + -40v + -3v2 + v3)' equal to zero and attempt to solve: Simplifying 84 + -40v + -3v2 + v3 = 0 Solving 84 + -40v + -3v2 + 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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