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

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


Simplifying
17v2 + 11 = 6v + 9v

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

Combine like terms: 6v + 9v = 15v
11 + 17v2 = 15v

Solving
11 + 17v2 = 15v

Solving for variable 'v'.

Reorder the terms:
11 + -15v + 17v2 = 15v + -15v

Combine like terms: 15v + -15v = 0
11 + -15v + 17v2 = 0

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

Divide each side by '17'.
0.6470588235 + -0.8823529412v + v2 = 0

Move the constant term to the right:

Add '-0.6470588235' to each side of the equation.
0.6470588235 + -0.8823529412v + -0.6470588235 + v2 = 0 + -0.6470588235

Reorder the terms:
0.6470588235 + -0.6470588235 + -0.8823529412v + v2 = 0 + -0.6470588235

Combine like terms: 0.6470588235 + -0.6470588235 = 0.0000000000
0.0000000000 + -0.8823529412v + v2 = 0 + -0.6470588235
-0.8823529412v + v2 = 0 + -0.6470588235

Combine like terms: 0 + -0.6470588235 = -0.6470588235
-0.8823529412v + v2 = -0.6470588235

The v term is -0.8823529412v.  Take half its coefficient (-0.4411764706).
Square it (0.1946366782) and add it to both sides.

Add '0.1946366782' to each side of the equation.
-0.8823529412v + 0.1946366782 + v2 = -0.6470588235 + 0.1946366782

Reorder the terms:
0.1946366782 + -0.8823529412v + v2 = -0.6470588235 + 0.1946366782

Combine like terms: -0.6470588235 + 0.1946366782 = -0.4524221453
0.1946366782 + -0.8823529412v + v2 = -0.4524221453

Factor a perfect square on the left side:
(v + -0.4411764706)(v + -0.4411764706) = -0.4524221453

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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