7v^2-7v+3=0

Solution for 7v^2-7v+3=0 equation:

Simplifying
7v2 + -7v + 3 = 0

Reorder the terms:
3 + -7v + 7v2 = 0

Solving
3 + -7v + 7v2 = 0

Solving for variable 'v'.

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

Divide each side by '7'.
0.4285714286 + -1v + v2 = 0

Move the constant term to the right:

Add '-0.4285714286' to each side of the equation.
0.4285714286 + -1v + -0.4285714286 + v2 = 0 + -0.4285714286

Reorder the terms:
0.4285714286 + -0.4285714286 + -1v + v2 = 0 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + -1v + v2 = 0 + -0.4285714286
-1v + v2 = 0 + -0.4285714286

Combine like terms: 0 + -0.4285714286 = -0.4285714286
-1v + v2 = -0.4285714286

The v term is -1v.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1v + 0.25 + v2 = -0.4285714286 + 0.25

Reorder the terms:
0.25 + -1v + v2 = -0.4285714286 + 0.25

Combine like terms: -0.4285714286 + 0.25 = -0.1785714286
0.25 + -1v + v2 = -0.1785714286

Factor a perfect square on the left side:
(v + -0.5)(v + -0.5) = -0.1785714286

Can't calculate square root of the right side.

The solution to this equation could not be determined.