(5v-2)(6v+v)=0

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Solution for (5v-2)(6v+v)=0 equation: 


Simplifying
(5v + -2)(6v + v) = 0

Reorder the terms:
(-2 + 5v)(6v + v) = 0

Combine like terms: 6v + v = 7v
(-2 + 5v)(7v) = 0

Remove parenthesis around (7v)
(-2 + 5v) * 7v = 0

Reorder the terms for easier multiplication:
7v(-2 + 5v) = 0
(-2 * 7v + 5v * 7v) = 0
(-14v + 35v2) = 0

Solving
-14v + 35v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '7v'.
7v(-2 + 5v) = 0

Ignore the factor 7.

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 '(-2 + 5v)' equal to zero and attempt to solve:

Simplifying
-2 + 5v = 0

Solving
-2 + 5v = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5v = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5v = 0 + 2
5v = 0 + 2

Combine like terms: 0 + 2 = 2
5v = 2

Divide each side by '5'.
v = 0.4

Simplifying
v = 0.4
Solution
v = {0, 0.4}

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