3V(V-3)=5V+5

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Solution for 3V(V-3)=5V+5 equation: 


Simplifying
3V(V + -3) = 5V + 5

Reorder the terms:
3V(-3 + V) = 5V + 5
(-3 * 3V + V * 3V) = 5V + 5
(-9V + 3V2) = 5V + 5

Reorder the terms:
-9V + 3V2 = 5 + 5V

Solving
-9V + 3V2 = 5 + 5V

Solving for variable 'V'.

Reorder the terms:
-5 + -9V + -5V + 3V2 = 5 + 5V + -5 + -5V

Combine like terms: -9V + -5V = -14V
-5 + -14V + 3V2 = 5 + 5V + -5 + -5V

Reorder the terms:
-5 + -14V + 3V2 = 5 + -5 + 5V + -5V

Combine like terms: 5 + -5 = 0
-5 + -14V + 3V2 = 0 + 5V + -5V
-5 + -14V + 3V2 = 5V + -5V

Combine like terms: 5V + -5V = 0
-5 + -14V + 3V2 = 0

Factor a trinomial.
(-1 + -3V)(5 + -1V) = 0


Subproblem 1
Set the factor '(-1 + -3V)' equal to zero and attempt to solve:

Simplifying
-1 + -3V = 0

Solving
-1 + -3V = 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 + -3V = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3V = 0 + 1
-3V = 0 + 1

Combine like terms: 0 + 1 = 1
-3V = 1

Divide each side by '-3'.
V = -0.3333333333

Simplifying
V = -0.3333333333

Subproblem 2
Set the factor '(5 + -1V)' equal to zero and attempt to solve:

Simplifying
5 + -1V = 0

Solving
5 + -1V = 0

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

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

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

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

Divide each side by '-1'.
V = 5

Simplifying
V = 5
Solution
V = {-0.3333333333, 5}

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