3v(10v+7)=0

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Solution for 3v(10v+7)=0 equation: 


Simplifying
3v(10v + 7) = 0

Reorder the terms:
3v(7 + 10v) = 0
(7 * 3v + 10v * 3v) = 0
(21v + 30v2) = 0

Solving
21v + 30v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(7 + 10v) = 0

Ignore the factor 3.

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 + 10v)' equal to zero and attempt to solve:

Simplifying
7 + 10v = 0

Solving
7 + 10v = 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 + 10v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 10v = 0 + -7
10v = 0 + -7

Combine like terms: 0 + -7 = -7
10v = -7

Divide each side by '10'.
v = -0.7

Simplifying
v = -0.7
Solution
v = {0, -0.7}

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