2v^2+7v+61=v+7*v+7

Solution for 2v^2+7v+61=v+7*v+7 equation:

Simplifying
2v2 + 7v + 61 = v + 7v + 7

Reorder the terms:
61 + 7v + 2v2 = v + 7v + 7

Reorder the terms:
61 + 7v + 2v2 = 7 + v + 7v

Combine like terms: v + 7v = 8v
61 + 7v + 2v2 = 7 + 8v

Solving
61 + 7v + 2v2 = 7 + 8v

Solving for variable 'v'.

Reorder the terms:
61 + -7 + 7v + -8v + 2v2 = 7 + 8v + -7 + -8v

Combine like terms: 61 + -7 = 54
54 + 7v + -8v + 2v2 = 7 + 8v + -7 + -8v

Combine like terms: 7v + -8v = -1v
54 + -1v + 2v2 = 7 + 8v + -7 + -8v

Reorder the terms:
54 + -1v + 2v2 = 7 + -7 + 8v + -8v

Combine like terms: 7 + -7 = 0
54 + -1v + 2v2 = 0 + 8v + -8v
54 + -1v + 2v2 = 8v + -8v

Combine like terms: 8v + -8v = 0
54 + -1v + 2v2 = 0

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

Divide each side by '2'.
27 + -0.5v + v2 = 0

Move the constant term to the right:

Add '-27' to each side of the equation.
27 + -0.5v + -27 + v2 = 0 + -27

Reorder the terms:
27 + -27 + -0.5v + v2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -0.5v + v2 = 0 + -27
-0.5v + v2 = 0 + -27

Combine like terms: 0 + -27 = -27
-0.5v + v2 = -27

The v term is -0.5v.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5v + 0.0625 + v2 = -27 + 0.0625

Reorder the terms:
0.0625 + -0.5v + v2 = -27 + 0.0625

Combine like terms: -27 + 0.0625 = -26.9375
0.0625 + -0.5v + v2 = -26.9375

Factor a perfect square on the left side:
(v + -0.25)(v + -0.25) = -26.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.