(V+2)(v+2)=2v^2-6+25

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Solution for (V+2)(v+2)=2v^2-6+25 equation:


Simplifying
(V + 2)(v + 2) = 2v2 + -6 + 25

Reorder the terms:
(2 + V)(v + 2) = 2v2 + -6 + 25

Reorder the terms:
(2 + V)(2 + v) = 2v2 + -6 + 25

Multiply (2 + V) * (2 + v)
(2(2 + v) + V(2 + v)) = 2v2 + -6 + 25
((2 * 2 + v * 2) + V(2 + v)) = 2v2 + -6 + 25
((4 + 2v) + V(2 + v)) = 2v2 + -6 + 25
(4 + 2v + (2 * V + v * V)) = 2v2 + -6 + 25
(4 + 2v + (2V + vV)) = 2v2 + -6 + 25

Reorder the terms:
(4 + 2V + 2v + vV) = 2v2 + -6 + 25
(4 + 2V + 2v + vV) = 2v2 + -6 + 25

Reorder the terms:
4 + 2V + 2v + vV = -6 + 25 + 2v2

Combine like terms: -6 + 25 = 19
4 + 2V + 2v + vV = 19 + 2v2

Solving
4 + 2V + 2v + vV = 19 + 2v2

Solving for variable 'V'.

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

Add '-4' to each side of the equation.
4 + 2V + 2v + -4 + vV = 19 + -4 + 2v2

Reorder the terms:
4 + -4 + 2V + 2v + vV = 19 + -4 + 2v2

Combine like terms: 4 + -4 = 0
0 + 2V + 2v + vV = 19 + -4 + 2v2
2V + 2v + vV = 19 + -4 + 2v2

Combine like terms: 19 + -4 = 15
2V + 2v + vV = 15 + 2v2

Add '-2v' to each side of the equation.
2V + 2v + -2v + vV = 15 + -2v + 2v2

Combine like terms: 2v + -2v = 0
2V + 0 + vV = 15 + -2v + 2v2
2V + vV = 15 + -2v + 2v2

Reorder the terms:
-15 + 2V + 2v + vV + -2v2 = 15 + -2v + 2v2 + -15 + 2v + -2v2

Reorder the terms:
-15 + 2V + 2v + vV + -2v2 = 15 + -15 + -2v + 2v + 2v2 + -2v2

Combine like terms: 15 + -15 = 0
-15 + 2V + 2v + vV + -2v2 = 0 + -2v + 2v + 2v2 + -2v2
-15 + 2V + 2v + vV + -2v2 = -2v + 2v + 2v2 + -2v2

Combine like terms: -2v + 2v = 0
-15 + 2V + 2v + vV + -2v2 = 0 + 2v2 + -2v2
-15 + 2V + 2v + vV + -2v2 = 2v2 + -2v2

Combine like terms: 2v2 + -2v2 = 0
-15 + 2V + 2v + vV + -2v2 = 0

The solution to this equation could not be determined.

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