(5v+1)(7v+v)=0

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Solution for (5v+1)(7v+v)=0 equation: 


Simplifying
(5v + 1)(7v + v) = 0

Reorder the terms:
(1 + 5v)(7v + v) = 0

Combine like terms: 7v + v = 8v
(1 + 5v)(8v) = 0

Remove parenthesis around (8v)
(1 + 5v) * 8v = 0

Reorder the terms for easier multiplication:
8v(1 + 5v) = 0
(1 * 8v + 5v * 8v) = 0
(8v + 40v2) = 0

Solving
8v + 40v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '8v'.
8v(1 + 5v) = 0

Ignore the factor 8.

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 '(1 + 5v)' equal to zero and attempt to solve:

Simplifying
1 + 5v = 0

Solving
1 + 5v = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5v = 0 + -1
5v = 0 + -1

Combine like terms: 0 + -1 = -1
5v = -1

Divide each side by '5'.
v = -0.2

Simplifying
v = -0.2
Solution
v = {0, -0.2}

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