v^2-6v=-91

Solution for v^2-6v=-91 equation:

Simplifying
v2 + -6v = -91

Reorder the terms:
-6v + v2 = -91

Solving
-6v + v2 = -91

Solving for variable 'v'.

Reorder the terms:
91 + -6v + v2 = -91 + 91

Combine like terms: -91 + 91 = 0
91 + -6v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-91' to each side of the equation.
91 + -6v + -91 + v2 = 0 + -91

Reorder the terms:
91 + -91 + -6v + v2 = 0 + -91

Combine like terms: 91 + -91 = 0
0 + -6v + v2 = 0 + -91
-6v + v2 = 0 + -91

Combine like terms: 0 + -91 = -91
-6v + v2 = -91

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 = -91 + 9

Reorder the terms:
9 + -6v + v2 = -91 + 9

Combine like terms: -91 + 9 = -82
9 + -6v + v2 = -82

Factor a perfect square on the left side:
(v + -3)(v + -3) = -82

Can't calculate square root of the right side.

The solution to this equation could not be determined.