5v^2-10v+83=0

Solution for 5v^2-10v+83=0 equation:

Simplifying
5v2 + -10v + 83 = 0

Reorder the terms:
83 + -10v + 5v2 = 0

Solving
83 + -10v + 5v2 = 0

Solving for variable 'v'.

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

Divide each side by '5'.
16.6 + -2v + v2 = 0

Move the constant term to the right:

Add '-16.6' to each side of the equation.
16.6 + -2v + -16.6 + v2 = 0 + -16.6

Reorder the terms:
16.6 + -16.6 + -2v + v2 = 0 + -16.6

Combine like terms: 16.6 + -16.6 = 0.0
0.0 + -2v + v2 = 0 + -16.6
-2v + v2 = 0 + -16.6

Combine like terms: 0 + -16.6 = -16.6
-2v + v2 = -16.6

The v term is -2v.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2v + 1 + v2 = -16.6 + 1

Reorder the terms:
1 + -2v + v2 = -16.6 + 1

Combine like terms: -16.6 + 1 = -15.6
1 + -2v + v2 = -15.6

Factor a perfect square on the left side:
(v + -1)(v + -1) = -15.6

Can't calculate square root of the right side.

The solution to this equation could not be determined.