v^2-36=2v^2-3v+50

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Solution for v^2-36=2v^2-3v+50 equation: 


Simplifying
v2 + -36 = 2v2 + -3v + 50

Reorder the terms:
-36 + v2 = 2v2 + -3v + 50

Reorder the terms:
-36 + v2 = 50 + -3v + 2v2

Solving
-36 + v2 = 50 + -3v + 2v2

Solving for variable 'v'.

Reorder the terms:
-36 + -50 + 3v + v2 + -2v2 = 50 + -3v + 2v2 + -50 + 3v + -2v2

Combine like terms: -36 + -50 = -86
-86 + 3v + v2 + -2v2 = 50 + -3v + 2v2 + -50 + 3v + -2v2

Combine like terms: v2 + -2v2 = -1v2
-86 + 3v + -1v2 = 50 + -3v + 2v2 + -50 + 3v + -2v2

Reorder the terms:
-86 + 3v + -1v2 = 50 + -50 + -3v + 3v + 2v2 + -2v2

Combine like terms: 50 + -50 = 0
-86 + 3v + -1v2 = 0 + -3v + 3v + 2v2 + -2v2
-86 + 3v + -1v2 = -3v + 3v + 2v2 + -2v2

Combine like terms: -3v + 3v = 0
-86 + 3v + -1v2 = 0 + 2v2 + -2v2
-86 + 3v + -1v2 = 2v2 + -2v2

Combine like terms: 2v2 + -2v2 = 0
-86 + 3v + -1v2 = 0

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

Divide each side by '-1'.
86 + -3v + v2 = 0

Move the constant term to the right:

Add '-86' to each side of the equation.
86 + -3v + -86 + v2 = 0 + -86

Reorder the terms:
86 + -86 + -3v + v2 = 0 + -86

Combine like terms: 86 + -86 = 0
0 + -3v + v2 = 0 + -86
-3v + v2 = 0 + -86

Combine like terms: 0 + -86 = -86
-3v + v2 = -86

The v term is -3v.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3v + 2.25 + v2 = -86 + 2.25

Reorder the terms:
2.25 + -3v + v2 = -86 + 2.25

Combine like terms: -86 + 2.25 = -83.75
2.25 + -3v + v2 = -83.75

Factor a perfect square on the left side:
(v + -1.5)(v + -1.5) = -83.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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