(V+5)(V+3)=5V+25

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Solution for (V+5)(V+3)=5V+25 equation: 


Simplifying
(V + 5)(V + 3) = 5V + 25

Reorder the terms:
(5 + V)(V + 3) = 5V + 25

Reorder the terms:
(5 + V)(3 + V) = 5V + 25

Multiply (5 + V) * (3 + V)
(5(3 + V) + V(3 + V)) = 5V + 25
((3 * 5 + V * 5) + V(3 + V)) = 5V + 25
((15 + 5V) + V(3 + V)) = 5V + 25
(15 + 5V + (3 * V + V * V)) = 5V + 25
(15 + 5V + (3V + V2)) = 5V + 25

Combine like terms: 5V + 3V = 8V
(15 + 8V + V2) = 5V + 25

Reorder the terms:
15 + 8V + V2 = 25 + 5V

Solving
15 + 8V + V2 = 25 + 5V

Solving for variable 'V'.

Reorder the terms:
15 + -25 + 8V + -5V + V2 = 25 + 5V + -25 + -5V

Combine like terms: 15 + -25 = -10
-10 + 8V + -5V + V2 = 25 + 5V + -25 + -5V

Combine like terms: 8V + -5V = 3V
-10 + 3V + V2 = 25 + 5V + -25 + -5V

Reorder the terms:
-10 + 3V + V2 = 25 + -25 + 5V + -5V

Combine like terms: 25 + -25 = 0
-10 + 3V + V2 = 0 + 5V + -5V
-10 + 3V + V2 = 5V + -5V

Combine like terms: 5V + -5V = 0
-10 + 3V + V2 = 0

Factor a trinomial.
(-5 + -1V)(2 + -1V) = 0


Subproblem 1
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

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

Simplifying
2 + -1V = 0

Solving
2 + -1V = 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 + -1V = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1V = 0 + -2
-1V = 0 + -2

Combine like terms: 0 + -2 = -2
-1V = -2

Divide each side by '-1'.
V = 2

Simplifying
V = 2
Solution
V = {-5, 2}

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