10v^2-5v=-6

Solution for 10v^2-5v=-6 equation:

Simplifying
10v2 + -5v = -6

Reorder the terms:
-5v + 10v2 = -6

Solving
-5v + 10v2 = -6

Solving for variable 'v'.

Reorder the terms:
6 + -5v + 10v2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -5v + 10v2 = 0

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

Divide each side by '10'.
0.6 + -0.5v + v2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.5v + -0.6 + v2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.5v + v2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.5v + v2 = 0 + -0.6
-0.5v + v2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-0.5v + v2 = -0.6

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 = -0.6 + 0.0625

Reorder the terms:
0.0625 + -0.5v + v2 = -0.6 + 0.0625

Combine like terms: -0.6 + 0.0625 = -0.5375
0.0625 + -0.5v + v2 = -0.5375

Factor a perfect square on the left side:
(v + -0.25)(v + -0.25) = -0.5375

Can't calculate square root of the right side.

The solution to this equation could not be determined.