(6v-2x+3)(7v+7x+7)=

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Solution for (6v-2x+3)(7v+7x+7)= equation: 


Simplifying
(6v + -2x + 3)(7v + 7x + 7) = 0

Reorder the terms:
(3 + 6v + -2x)(7v + 7x + 7) = 0

Reorder the terms:
(3 + 6v + -2x)(7 + 7v + 7x) = 0

Multiply (3 + 6v + -2x) * (7 + 7v + 7x)
(3(7 + 7v + 7x) + 6v * (7 + 7v + 7x) + -2x * (7 + 7v + 7x)) = 0
((7 * 3 + 7v * 3 + 7x * 3) + 6v * (7 + 7v + 7x) + -2x * (7 + 7v + 7x)) = 0
((21 + 21v + 21x) + 6v * (7 + 7v + 7x) + -2x * (7 + 7v + 7x)) = 0
(21 + 21v + 21x + (7 * 6v + 7v * 6v + 7x * 6v) + -2x * (7 + 7v + 7x)) = 0

Reorder the terms:
(21 + 21v + 21x + (42v + 42vx + 42v2) + -2x * (7 + 7v + 7x)) = 0
(21 + 21v + 21x + (42v + 42vx + 42v2) + -2x * (7 + 7v + 7x)) = 0
(21 + 21v + 21x + 42v + 42vx + 42v2 + (7 * -2x + 7v * -2x + 7x * -2x)) = 0

Reorder the terms:
(21 + 21v + 21x + 42v + 42vx + 42v2 + (-14vx + -14x + -14x2)) = 0
(21 + 21v + 21x + 42v + 42vx + 42v2 + (-14vx + -14x + -14x2)) = 0

Reorder the terms:
(21 + 21v + 42v + 42vx + -14vx + 42v2 + 21x + -14x + -14x2) = 0

Combine like terms: 21v + 42v = 63v
(21 + 63v + 42vx + -14vx + 42v2 + 21x + -14x + -14x2) = 0

Combine like terms: 42vx + -14vx = 28vx
(21 + 63v + 28vx + 42v2 + 21x + -14x + -14x2) = 0

Combine like terms: 21x + -14x = 7x
(21 + 63v + 28vx + 42v2 + 7x + -14x2) = 0

Solving
21 + 63v + 28vx + 42v2 + 7x + -14x2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '7'.
7(3 + 9v + 4vx + 6v2 + x + -2x2) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(3 + 9v + 4vx + 6v2 + x + -2x2)' equal to zero and attempt to solve:

Simplifying
3 + 9v + 4vx + 6v2 + x + -2x2 = 0

Solving
3 + 9v + 4vx + 6v2 + x + -2x2 = 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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