6v(13v+7)=0

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Solution for 6v(13v+7)=0 equation: 


Simplifying
6v(13v + 7) = 0

Reorder the terms:
6v(7 + 13v) = 0
(7 * 6v + 13v * 6v) = 0
(42v + 78v2) = 0

Solving
42v + 78v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6v'.
6v(7 + 13v) = 0

Ignore the factor 6.

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 '(7 + 13v)' equal to zero and attempt to solve:

Simplifying
7 + 13v = 0

Solving
7 + 13v = 0

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

Add '-7' to each side of the equation.
7 + -7 + 13v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 13v = 0 + -7
13v = 0 + -7

Combine like terms: 0 + -7 = -7
13v = -7

Divide each side by '13'.
v = -0.5384615385

Simplifying
v = -0.5384615385
Solution
v = {0, -0.5384615385}

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