9v^2-43v+60=0

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Solution for 9v^2-43v+60=0 equation:


Simplifying
9v2 + -43v + 60 = 0

Reorder the terms:
60 + -43v + 9v2 = 0

Solving
60 + -43v + 9v2 = 0

Solving for variable 'v'.

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

Divide each side by '9'.
6.666666667 + -4.777777778v + v2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + -4.777777778v + -6.666666667 + v2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + -4.777777778v + v2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + -4.777777778v + v2 = 0 + -6.666666667
-4.777777778v + v2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
-4.777777778v + v2 = -6.666666667

The v term is -4.777777778v.  Take half its coefficient (-2.388888889).
Square it (5.706790124) and add it to both sides.

Add '5.706790124' to each side of the equation.
-4.777777778v + 5.706790124 + v2 = -6.666666667 + 5.706790124

Reorder the terms:
5.706790124 + -4.777777778v + v2 = -6.666666667 + 5.706790124

Combine like terms: -6.666666667 + 5.706790124 = -0.959876543
5.706790124 + -4.777777778v + v2 = -0.959876543

Factor a perfect square on the left side:
(v + -2.388888889)(v + -2.388888889) = -0.959876543

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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