5v(12v+7)=0

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Solution for 5v(12v+7)=0 equation: 


Simplifying
5v(12v + 7) = 0

Reorder the terms:
5v(7 + 12v) = 0
(7 * 5v + 12v * 5v) = 0
(35v + 60v2) = 0

Solving
35v + 60v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5v'.
5v(7 + 12v) = 0

Ignore the factor 5.

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 + 12v)' equal to zero and attempt to solve:

Simplifying
7 + 12v = 0

Solving
7 + 12v = 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 + 12v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 12v = 0 + -7
12v = 0 + -7

Combine like terms: 0 + -7 = -7
12v = -7

Divide each side by '12'.
v = -0.5833333333

Simplifying
v = -0.5833333333
Solution
v = {0, -0.5833333333}

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