-2v(3v-7)=v

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


Simplifying
-2v(3v + -7) = v

Reorder the terms:
-2v(-7 + 3v) = v
(-7 * -2v + 3v * -2v) = v
(14v + -6v2) = v

Solving
14v + -6v2 = v

Solving for variable 'v'.

Reorder the terms:
14v + -1v + -6v2 = v + -1v

Combine like terms: 14v + -1v = 13v
13v + -6v2 = v + -1v

Combine like terms: v + -1v = 0
13v + -6v2 = 0

Factor out the Greatest Common Factor (GCF), 'v'.
v(13 + -6v) = 0


Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

Move all terms containing v to the left, all other terms to the right.

Simplifying
v = 0

Subproblem 2
Set the factor '(13 + -6v)' equal to zero and attempt to solve:

Simplifying
13 + -6v = 0

Solving
13 + -6v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + -6v = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6v = 0 + -13
-6v = 0 + -13

Combine like terms: 0 + -13 = -13
-6v = -13

Divide each side by '-6'.
v = 2.166666667

Simplifying
v = 2.166666667
Solution
v = {0, 2.166666667}

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