3y^2-25y+62=0

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Solution for 3y^2-25y+62=0 equation:


Simplifying
3y2 + -25y + 62 = 0

Reorder the terms:
62 + -25y + 3y2 = 0

Solving
62 + -25y + 3y2 = 0

Solving for variable 'y'.

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

Divide each side by '3'.
20.66666667 + -8.333333333y + y2 = 0

Move the constant term to the right:

Add '-20.66666667' to each side of the equation.
20.66666667 + -8.333333333y + -20.66666667 + y2 = 0 + -20.66666667

Reorder the terms:
20.66666667 + -20.66666667 + -8.333333333y + y2 = 0 + -20.66666667

Combine like terms: 20.66666667 + -20.66666667 = 0.00000000
0.00000000 + -8.333333333y + y2 = 0 + -20.66666667
-8.333333333y + y2 = 0 + -20.66666667

Combine like terms: 0 + -20.66666667 = -20.66666667
-8.333333333y + y2 = -20.66666667

The y term is -8.333333333y.  Take half its coefficient (-4.166666667).
Square it (17.36111111) and add it to both sides.

Add '17.36111111' to each side of the equation.
-8.333333333y + 17.36111111 + y2 = -20.66666667 + 17.36111111

Reorder the terms:
17.36111111 + -8.333333333y + y2 = -20.66666667 + 17.36111111

Combine like terms: -20.66666667 + 17.36111111 = -3.30555556
17.36111111 + -8.333333333y + y2 = -3.30555556

Factor a perfect square on the left side:
(y + -4.166666667)(y + -4.166666667) = -3.30555556

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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