v^2-16=2v^2-5v-2

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Solution for v^2-16=2v^2-5v-2 equation: 


Simplifying
v2 + -16 = 2v2 + -5v + -2

Reorder the terms:
-16 + v2 = 2v2 + -5v + -2

Reorder the terms:
-16 + v2 = -2 + -5v + 2v2

Solving
-16 + v2 = -2 + -5v + 2v2

Solving for variable 'v'.

Reorder the terms:
-16 + 2 + 5v + v2 + -2v2 = -2 + -5v + 2v2 + 2 + 5v + -2v2

Combine like terms: -16 + 2 = -14
-14 + 5v + v2 + -2v2 = -2 + -5v + 2v2 + 2 + 5v + -2v2

Combine like terms: v2 + -2v2 = -1v2
-14 + 5v + -1v2 = -2 + -5v + 2v2 + 2 + 5v + -2v2

Reorder the terms:
-14 + 5v + -1v2 = -2 + 2 + -5v + 5v + 2v2 + -2v2

Combine like terms: -2 + 2 = 0
-14 + 5v + -1v2 = 0 + -5v + 5v + 2v2 + -2v2
-14 + 5v + -1v2 = -5v + 5v + 2v2 + -2v2

Combine like terms: -5v + 5v = 0
-14 + 5v + -1v2 = 0 + 2v2 + -2v2
-14 + 5v + -1v2 = 2v2 + -2v2

Combine like terms: 2v2 + -2v2 = 0
-14 + 5v + -1v2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
14 + -5v + v2 = 0

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -5v + -14 + v2 = 0 + -14

Reorder the terms:
14 + -14 + -5v + v2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -5v + v2 = 0 + -14
-5v + v2 = 0 + -14

Combine like terms: 0 + -14 = -14
-5v + v2 = -14

The v term is -5v.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5v + 6.25 + v2 = -14 + 6.25

Reorder the terms:
6.25 + -5v + v2 = -14 + 6.25

Combine like terms: -14 + 6.25 = -7.75
6.25 + -5v + v2 = -7.75

Factor a perfect square on the left side:
(v + -2.5)(v + -2.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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