v^2-18v+77=-6

Solution for v^2-18v+77=-6 equation:

Simplifying
v2 + -18v + 77 = -6

Reorder the terms:
77 + -18v + v2 = -6

Solving
77 + -18v + v2 = -6

Solving for variable 'v'.

Reorder the terms:
77 + 6 + -18v + v2 = -6 + 6

Combine like terms: 77 + 6 = 83
83 + -18v + v2 = -6 + 6

Combine like terms: -6 + 6 = 0
83 + -18v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-83' to each side of the equation.
83 + -18v + -83 + v2 = 0 + -83

Reorder the terms:
83 + -83 + -18v + v2 = 0 + -83

Combine like terms: 83 + -83 = 0
0 + -18v + v2 = 0 + -83
-18v + v2 = 0 + -83

Combine like terms: 0 + -83 = -83
-18v + v2 = -83

The v term is -18v.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18v + 81 + v2 = -83 + 81

Reorder the terms:
81 + -18v + v2 = -83 + 81

Combine like terms: -83 + 81 = -2
81 + -18v + v2 = -2

Factor a perfect square on the left side:
(v + -9)(v + -9) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.