(12v+3)(-6v-9)=(2v-14)+w

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Solution for (12v+3)(-6v-9)=(2v-14)+w equation: 


Simplifying
(12v + 3)(-6v + -9) = (2v + -14) + w

Reorder the terms:
(3 + 12v)(-6v + -9) = (2v + -14) + w

Reorder the terms:
(3 + 12v)(-9 + -6v) = (2v + -14) + w

Multiply (3 + 12v) * (-9 + -6v)
(3(-9 + -6v) + 12v * (-9 + -6v)) = (2v + -14) + w
((-9 * 3 + -6v * 3) + 12v * (-9 + -6v)) = (2v + -14) + w
((-27 + -18v) + 12v * (-9 + -6v)) = (2v + -14) + w
(-27 + -18v + (-9 * 12v + -6v * 12v)) = (2v + -14) + w
(-27 + -18v + (-108v + -72v2)) = (2v + -14) + w

Combine like terms: -18v + -108v = -126v
(-27 + -126v + -72v2) = (2v + -14) + w

Reorder the terms:
-27 + -126v + -72v2 = (-14 + 2v) + w

Remove parenthesis around (-14 + 2v)
-27 + -126v + -72v2 = -14 + 2v + w

Solving
-27 + -126v + -72v2 = -14 + 2v + w

Solving for variable 'v'.

Reorder the terms:
-27 + 14 + -126v + -2v + -72v2 + -1w = -14 + 2v + w + 14 + -2v + -1w

Combine like terms: -27 + 14 = -13
-13 + -126v + -2v + -72v2 + -1w = -14 + 2v + w + 14 + -2v + -1w

Combine like terms: -126v + -2v = -128v
-13 + -128v + -72v2 + -1w = -14 + 2v + w + 14 + -2v + -1w

Reorder the terms:
-13 + -128v + -72v2 + -1w = -14 + 14 + 2v + -2v + w + -1w

Combine like terms: -14 + 14 = 0
-13 + -128v + -72v2 + -1w = 0 + 2v + -2v + w + -1w
-13 + -128v + -72v2 + -1w = 2v + -2v + w + -1w

Combine like terms: 2v + -2v = 0
-13 + -128v + -72v2 + -1w = 0 + w + -1w
-13 + -128v + -72v2 + -1w = w + -1w

Combine like terms: w + -1w = 0
-13 + -128v + -72v2 + -1w = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(13 + 128v + 72v2 + w) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(13 + 128v + 72v2 + w)' equal to zero and attempt to solve:

Simplifying
13 + 128v + 72v2 + w = 0

Solving
13 + 128v + 72v2 + w = 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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