49v^2-27v+14=0

Solution for 49v^2-27v+14=0 equation:

Simplifying
49v2 + -27v + 14 = 0

Reorder the terms:
14 + -27v + 49v2 = 0

Solving
14 + -27v + 49v2 = 0

Solving for variable 'v'.

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

Divide each side by '49'.
0.2857142857 + -0.5510204082v + v2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -0.5510204082v + -0.2857142857 + v2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -0.5510204082v + v2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -0.5510204082v + v2 = 0 + -0.2857142857
-0.5510204082v + v2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-0.5510204082v + v2 = -0.2857142857

The v term is -0.5510204082v.  Take half its coefficient (-0.2755102041).
Square it (0.07590587256) and add it to both sides.

Add '0.07590587256' to each side of the equation.
-0.5510204082v + 0.07590587256 + v2 = -0.2857142857 + 0.07590587256

Reorder the terms:
0.07590587256 + -0.5510204082v + v2 = -0.2857142857 + 0.07590587256

Combine like terms: -0.2857142857 + 0.07590587256 = -0.20980841314
0.07590587256 + -0.5510204082v + v2 = -0.20980841314

Factor a perfect square on the left side:
(v + -0.2755102041)(v + -0.2755102041) = -0.20980841314

Can't calculate square root of the right side.

The solution to this equation could not be determined.