9y^2-66y+133=0

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Solution for 9y^2-66y+133=0 equation:


Simplifying
9y2 + -66y + 133 = 0

Reorder the terms:
133 + -66y + 9y2 = 0

Solving
133 + -66y + 9y2 = 0

Solving for variable 'y'.

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

Divide each side by '9'.
14.77777778 + -7.333333333y + y2 = 0

Move the constant term to the right:

Add '-14.77777778' to each side of the equation.
14.77777778 + -7.333333333y + -14.77777778 + y2 = 0 + -14.77777778

Reorder the terms:
14.77777778 + -14.77777778 + -7.333333333y + y2 = 0 + -14.77777778

Combine like terms: 14.77777778 + -14.77777778 = 0.00000000
0.00000000 + -7.333333333y + y2 = 0 + -14.77777778
-7.333333333y + y2 = 0 + -14.77777778

Combine like terms: 0 + -14.77777778 = -14.77777778
-7.333333333y + y2 = -14.77777778

The y term is -7.333333333y.  Take half its coefficient (-3.666666667).
Square it (13.44444445) and add it to both sides.

Add '13.44444445' to each side of the equation.
-7.333333333y + 13.44444445 + y2 = -14.77777778 + 13.44444445

Reorder the terms:
13.44444445 + -7.333333333y + y2 = -14.77777778 + 13.44444445

Combine like terms: -14.77777778 + 13.44444445 = -1.33333333
13.44444445 + -7.333333333y + y2 = -1.33333333

Factor a perfect square on the left side:
(y + -3.666666667)(y + -3.666666667) = -1.33333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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