6v^2-5v+16=5

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Solution for 6v^2-5v+16=5 equation: 


Simplifying
6v2 + -5v + 16 = 5

Reorder the terms:
16 + -5v + 6v2 = 5

Solving
16 + -5v + 6v2 = 5

Solving for variable 'v'.

Reorder the terms:
16 + -5 + -5v + 6v2 = 5 + -5

Combine like terms: 16 + -5 = 11
11 + -5v + 6v2 = 5 + -5

Combine like terms: 5 + -5 = 0
11 + -5v + 6v2 = 0

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

Divide each side by '6'.
1.833333333 + -0.8333333333v + v2 = 0

Move the constant term to the right:

Add '-1.833333333' to each side of the equation.
1.833333333 + -0.8333333333v + -1.833333333 + v2 = 0 + -1.833333333

Reorder the terms:
1.833333333 + -1.833333333 + -0.8333333333v + v2 = 0 + -1.833333333

Combine like terms: 1.833333333 + -1.833333333 = 0.000000000
0.000000000 + -0.8333333333v + v2 = 0 + -1.833333333
-0.8333333333v + v2 = 0 + -1.833333333

Combine like terms: 0 + -1.833333333 = -1.833333333
-0.8333333333v + v2 = -1.833333333

The v term is -0.8333333333v.  Take half its coefficient (-0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
-0.8333333333v + 0.1736111111 + v2 = -1.833333333 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333v + v2 = -1.833333333 + 0.1736111111

Combine like terms: -1.833333333 + 0.1736111111 = -1.6597222219
0.1736111111 + -0.8333333333v + v2 = -1.6597222219

Factor a perfect square on the left side:
(v + -0.4166666667)(v + -0.4166666667) = -1.6597222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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