(V+2)(V+1)=8V+2

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Solution for (V+2)(V+1)=8V+2 equation: 


Simplifying
(V + 2)(V + 1) = 8V + 2

Reorder the terms:
(2 + V)(V + 1) = 8V + 2

Reorder the terms:
(2 + V)(1 + V) = 8V + 2

Multiply (2 + V) * (1 + V)
(2(1 + V) + V(1 + V)) = 8V + 2
((1 * 2 + V * 2) + V(1 + V)) = 8V + 2
((2 + 2V) + V(1 + V)) = 8V + 2
(2 + 2V + (1 * V + V * V)) = 8V + 2
(2 + 2V + (1V + V2)) = 8V + 2

Combine like terms: 2V + 1V = 3V
(2 + 3V + V2) = 8V + 2

Reorder the terms:
2 + 3V + V2 = 2 + 8V

Add '-2' to each side of the equation.
2 + 3V + -2 + V2 = 2 + -2 + 8V

Reorder the terms:
2 + -2 + 3V + V2 = 2 + -2 + 8V

Combine like terms: 2 + -2 = 0
0 + 3V + V2 = 2 + -2 + 8V
3V + V2 = 2 + -2 + 8V

Combine like terms: 2 + -2 = 0
3V + V2 = 0 + 8V
3V + V2 = 8V

Solving
3V + V2 = 8V

Solving for variable 'V'.

Reorder the terms:
3V + -8V + V2 = 8V + -8V

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

Combine like terms: 8V + -8V = 0
-5V + V2 = 0

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


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

Simplifying
-5 + V = 0

Solving
-5 + V = 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 + V = 0 + 5

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

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

Simplifying
V = 5
Solution
V = {0, 5}

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