2v^2-6v+56=v^2-49

Solution for 2v^2-6v+56=v^2-49 equation:

Simplifying
2v2 + -6v + 56 = v2 + -49

Reorder the terms:
56 + -6v + 2v2 = v2 + -49

Reorder the terms:
56 + -6v + 2v2 = -49 + v2

Solving
56 + -6v + 2v2 = -49 + v2

Solving for variable 'v'.

Reorder the terms:
56 + 49 + -6v + 2v2 + -1v2 = -49 + v2 + 49 + -1v2

Combine like terms: 56 + 49 = 105
105 + -6v + 2v2 + -1v2 = -49 + v2 + 49 + -1v2

Combine like terms: 2v2 + -1v2 = 1v2
105 + -6v + 1v2 = -49 + v2 + 49 + -1v2

Reorder the terms:
105 + -6v + 1v2 = -49 + 49 + v2 + -1v2

Combine like terms: -49 + 49 = 0
105 + -6v + 1v2 = 0 + v2 + -1v2
105 + -6v + 1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
105 + -6v + 1v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-105' to each side of the equation.
105 + -6v + -105 + v2 = 0 + -105

Reorder the terms:
105 + -105 + -6v + v2 = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -6v + v2 = 0 + -105
-6v + v2 = 0 + -105

Combine like terms: 0 + -105 = -105
-6v + v2 = -105

The v term is -6v.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6v + 9 + v2 = -105 + 9

Reorder the terms:
9 + -6v + v2 = -105 + 9

Combine like terms: -105 + 9 = -96
9 + -6v + v2 = -96

Factor a perfect square on the left side:
(v + -3)(v + -3) = -96

Can't calculate square root of the right side.

The solution to this equation could not be determined.