3y^2-10y+25=0

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Solution for 3y^2-10y+25=0 equation:


Simplifying
3y2 + -10y + 25 = 0

Reorder the terms:
25 + -10y + 3y2 = 0

Solving
25 + -10y + 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'.
8.333333333 + -3.333333333y + y2 = 0

Move the constant term to the right:

Add '-8.333333333' to each side of the equation.
8.333333333 + -3.333333333y + -8.333333333 + y2 = 0 + -8.333333333

Reorder the terms:
8.333333333 + -8.333333333 + -3.333333333y + y2 = 0 + -8.333333333

Combine like terms: 8.333333333 + -8.333333333 = 0.000000000
0.000000000 + -3.333333333y + y2 = 0 + -8.333333333
-3.333333333y + y2 = 0 + -8.333333333

Combine like terms: 0 + -8.333333333 = -8.333333333
-3.333333333y + y2 = -8.333333333

The y term is -3.333333333y.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333y + 2.777777779 + y2 = -8.333333333 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333y + y2 = -8.333333333 + 2.777777779

Combine like terms: -8.333333333 + 2.777777779 = -5.555555554
2.777777779 + -3.333333333y + y2 = -5.555555554

Factor a perfect square on the left side:
(y + -1.666666667)(y + -1.666666667) = -5.555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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