10v^2-6v+3=0

Solution for 10v^2-6v+3=0 equation:

Simplifying
10v2 + -6v + 3 = 0

Reorder the terms:
3 + -6v + 10v2 = 0

Solving
3 + -6v + 10v2 = 0

Solving for variable 'v'.

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

Divide each side by '10'.
0.3 + -0.6v + v2 = 0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + -0.6v + -0.3 + v2 = 0 + -0.3

Reorder the terms:
0.3 + -0.3 + -0.6v + v2 = 0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.6v + v2 = 0 + -0.3
-0.6v + v2 = 0 + -0.3

Combine like terms: 0 + -0.3 = -0.3
-0.6v + v2 = -0.3

The v term is -0.6v.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6v + 0.09 + v2 = -0.3 + 0.09

Reorder the terms:
0.09 + -0.6v + v2 = -0.3 + 0.09

Combine like terms: -0.3 + 0.09 = -0.21
0.09 + -0.6v + v2 = -0.21

Factor a perfect square on the left side:
(v + -0.3)(v + -0.3) = -0.21

Can't calculate square root of the right side.

The solution to this equation could not be determined.