11v^2-8v+7=0

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Solution for 11v^2-8v+7=0 equation:


Simplifying
11v2 + -8v + 7 = 0

Reorder the terms:
7 + -8v + 11v2 = 0

Solving
7 + -8v + 11v2 = 0

Solving for variable 'v'.

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

Divide each side by '11'.
0.6363636364 + -0.7272727273v + v2 = 0

Move the constant term to the right:

Add '-0.6363636364' to each side of the equation.
0.6363636364 + -0.7272727273v + -0.6363636364 + v2 = 0 + -0.6363636364

Reorder the terms:
0.6363636364 + -0.6363636364 + -0.7272727273v + v2 = 0 + -0.6363636364

Combine like terms: 0.6363636364 + -0.6363636364 = 0.0000000000
0.0000000000 + -0.7272727273v + v2 = 0 + -0.6363636364
-0.7272727273v + v2 = 0 + -0.6363636364

Combine like terms: 0 + -0.6363636364 = -0.6363636364
-0.7272727273v + v2 = -0.6363636364

The v term is -0.7272727273v.  Take half its coefficient (-0.3636363637).
Square it (0.1322314050) and add it to both sides.

Add '0.1322314050' to each side of the equation.
-0.7272727273v + 0.1322314050 + v2 = -0.6363636364 + 0.1322314050

Reorder the terms:
0.1322314050 + -0.7272727273v + v2 = -0.6363636364 + 0.1322314050

Combine like terms: -0.6363636364 + 0.1322314050 = -0.5041322314
0.1322314050 + -0.7272727273v + v2 = -0.5041322314

Factor a perfect square on the left side:
(v + -0.3636363637)(v + -0.3636363637) = -0.5041322314

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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