17v^2+11=6v+9v^2

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Solution for 17v^2+11=6v+9v^2 equation: 


Simplifying
17v2 + 11 = 6v + 9v2

Reorder the terms:
11 + 17v2 = 6v + 9v2

Solving
11 + 17v2 = 6v + 9v2

Solving for variable 'v'.

Reorder the terms:
11 + -6v + 17v2 + -9v2 = 6v + 9v2 + -6v + -9v2

Combine like terms: 17v2 + -9v2 = 8v2
11 + -6v + 8v2 = 6v + 9v2 + -6v + -9v2

Reorder the terms:
11 + -6v + 8v2 = 6v + -6v + 9v2 + -9v2

Combine like terms: 6v + -6v = 0
11 + -6v + 8v2 = 0 + 9v2 + -9v2
11 + -6v + 8v2 = 9v2 + -9v2

Combine like terms: 9v2 + -9v2 = 0
11 + -6v + 8v2 = 0

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

Divide each side by '8'.
1.375 + -0.75v + v2 = 0

Move the constant term to the right:

Add '-1.375' to each side of the equation.
1.375 + -0.75v + -1.375 + v2 = 0 + -1.375

Reorder the terms:
1.375 + -1.375 + -0.75v + v2 = 0 + -1.375

Combine like terms: 1.375 + -1.375 = 0.000
0.000 + -0.75v + v2 = 0 + -1.375
-0.75v + v2 = 0 + -1.375

Combine like terms: 0 + -1.375 = -1.375
-0.75v + v2 = -1.375

The v term is -0.75v.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75v + 0.140625 + v2 = -1.375 + 0.140625

Reorder the terms:
0.140625 + -0.75v + v2 = -1.375 + 0.140625

Combine like terms: -1.375 + 0.140625 = -1.234375
0.140625 + -0.75v + v2 = -1.234375

Factor a perfect square on the left side:
(v + -0.375)(v + -0.375) = -1.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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