V^2+12v+20=(v+10)(v+2)

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Solution for V^2+12v+20=(v+10)(v+2) equation: 


Simplifying
V2 + 12v + 20 = (v + 10)(v + 2)

Reorder the terms:
20 + V2 + 12v = (v + 10)(v + 2)

Reorder the terms:
20 + V2 + 12v = (10 + v)(v + 2)

Reorder the terms:
20 + V2 + 12v = (10 + v)(2 + v)

Multiply (10 + v) * (2 + v)
20 + V2 + 12v = (10(2 + v) + v(2 + v))
20 + V2 + 12v = ((2 * 10 + v * 10) + v(2 + v))
20 + V2 + 12v = ((20 + 10v) + v(2 + v))
20 + V2 + 12v = (20 + 10v + (2 * v + v * v))
20 + V2 + 12v = (20 + 10v + (2v + v2))

Combine like terms: 10v + 2v = 12v
20 + V2 + 12v = (20 + 12v + v2)

Add '-20' to each side of the equation.
20 + V2 + -20 + 12v = 20 + 12v + -20 + v2

Reorder the terms:
20 + -20 + V2 + 12v = 20 + 12v + -20 + v2

Combine like terms: 20 + -20 = 0
0 + V2 + 12v = 20 + 12v + -20 + v2
V2 + 12v = 20 + 12v + -20 + v2

Reorder the terms:
V2 + 12v = 20 + -20 + 12v + v2

Combine like terms: 20 + -20 = 0
V2 + 12v = 0 + 12v + v2
V2 + 12v = 12v + v2

Add '-12v' to each side of the equation.
V2 + 12v + -12v = 12v + -12v + v2

Combine like terms: 12v + -12v = 0
V2 + 0 = 12v + -12v + v2
V2 = 12v + -12v + v2

Combine like terms: 12v + -12v = 0
V2 = 0 + v2
V2 = v2

Solving
V2 = v2

Solving for variable 'V'.

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

Simplifying
V2 = v2

Take the square root of each side:
V = {-1v, v}

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