9y^2-48y+112=0

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Solution for 9y^2-48y+112=0 equation:


Simplifying
9y2 + -48y + 112 = 0

Reorder the terms:
112 + -48y + 9y2 = 0

Solving
112 + -48y + 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'.
12.44444444 + -5.333333333y + y2 = 0

Move the constant term to the right:

Add '-12.44444444' to each side of the equation.
12.44444444 + -5.333333333y + -12.44444444 + y2 = 0 + -12.44444444

Reorder the terms:
12.44444444 + -12.44444444 + -5.333333333y + y2 = 0 + -12.44444444

Combine like terms: 12.44444444 + -12.44444444 = 0.00000000
0.00000000 + -5.333333333y + y2 = 0 + -12.44444444
-5.333333333y + y2 = 0 + -12.44444444

Combine like terms: 0 + -12.44444444 = -12.44444444
-5.333333333y + y2 = -12.44444444

The y term is -5.333333333y.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333y + 7.111111113 + y2 = -12.44444444 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333y + y2 = -12.44444444 + 7.111111113

Combine like terms: -12.44444444 + 7.111111113 = -5.333333327
7.111111113 + -5.333333333y + y2 = -5.333333327

Factor a perfect square on the left side:
(y + -2.666666667)(y + -2.666666667) = -5.333333327

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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