(5v+v)(5v-3)=0

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Solution for (5v+v)(5v-3)=0 equation: 


Simplifying
(5v + v)(5v + -3) = 0

Combine like terms: 5v + v = 6v
(6v)(5v + -3) = 0

Remove parenthesis around (6v)
6v(5v + -3) = 0

Reorder the terms:
6v(-3 + 5v) = 0
(-3 * 6v + 5v * 6v) = 0
(-18v + 30v2) = 0

Solving
-18v + 30v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6v'.
6v(-3 + 5v) = 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 '(-3 + 5v)' equal to zero and attempt to solve:

Simplifying
-3 + 5v = 0

Solving
-3 + 5v = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5v = 0 + 3
5v = 0 + 3

Combine like terms: 0 + 3 = 3
5v = 3

Divide each side by '5'.
v = 0.6

Simplifying
v = 0.6
Solution
v = {0, 0.6}

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