(v+6)(v+6)=2(V+3)(v+2)

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Solution for (v+6)(v+6)=2(V+3)(v+2) equation: 


Simplifying
(v + 6)(v + 6) = 2(V + 3)(v + 2)

Reorder the terms:
(6 + v)(v + 6) = 2(V + 3)(v + 2)

Reorder the terms:
(6 + v)(6 + v) = 2(V + 3)(v + 2)

Multiply (6 + v) * (6 + v)
(6(6 + v) + v(6 + v)) = 2(V + 3)(v + 2)
((6 * 6 + v * 6) + v(6 + v)) = 2(V + 3)(v + 2)
((36 + 6v) + v(6 + v)) = 2(V + 3)(v + 2)
(36 + 6v + (6 * v + v * v)) = 2(V + 3)(v + 2)
(36 + 6v + (6v + v2)) = 2(V + 3)(v + 2)

Combine like terms: 6v + 6v = 12v
(36 + 12v + v2) = 2(V + 3)(v + 2)

Reorder the terms:
36 + 12v + v2 = 2(3 + V)(v + 2)

Reorder the terms:
36 + 12v + v2 = 2(3 + V)(2 + v)

Multiply (3 + V) * (2 + v)
36 + 12v + v2 = 2(3(2 + v) + V(2 + v))
36 + 12v + v2 = 2((2 * 3 + v * 3) + V(2 + v))
36 + 12v + v2 = 2((6 + 3v) + V(2 + v))
36 + 12v + v2 = 2(6 + 3v + (2 * V + v * V))
36 + 12v + v2 = 2(6 + 3v + (2V + vV))

Reorder the terms:
36 + 12v + v2 = 2(6 + 2V + 3v + vV)
36 + 12v + v2 = 2(6 + 2V + 3v + vV)
36 + 12v + v2 = (6 * 2 + 2V * 2 + 3v * 2 + vV * 2)
36 + 12v + v2 = (12 + 4V + 6v + 2vV)

Solving
36 + 12v + v2 = 12 + 4V + 6v + 2vV

Solving for variable 'v'.

Reorder the terms:
36 + -12 + -4V + 12v + -6v + -2vV + v2 = 12 + 4V + 6v + 2vV + -12 + -4V + -6v + -2vV

Combine like terms: 36 + -12 = 24
24 + -4V + 12v + -6v + -2vV + v2 = 12 + 4V + 6v + 2vV + -12 + -4V + -6v + -2vV

Combine like terms: 12v + -6v = 6v
24 + -4V + 6v + -2vV + v2 = 12 + 4V + 6v + 2vV + -12 + -4V + -6v + -2vV

Reorder the terms:
24 + -4V + 6v + -2vV + v2 = 12 + -12 + 4V + -4V + 6v + -6v + 2vV + -2vV

Combine like terms: 12 + -12 = 0
24 + -4V + 6v + -2vV + v2 = 0 + 4V + -4V + 6v + -6v + 2vV + -2vV
24 + -4V + 6v + -2vV + v2 = 4V + -4V + 6v + -6v + 2vV + -2vV

Combine like terms: 4V + -4V = 0
24 + -4V + 6v + -2vV + v2 = 0 + 6v + -6v + 2vV + -2vV
24 + -4V + 6v + -2vV + v2 = 6v + -6v + 2vV + -2vV

Combine like terms: 6v + -6v = 0
24 + -4V + 6v + -2vV + v2 = 0 + 2vV + -2vV
24 + -4V + 6v + -2vV + v2 = 2vV + -2vV

Combine like terms: 2vV + -2vV = 0
24 + -4V + 6v + -2vV + v2 = 0

The solution to this equation could not be determined.

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