12y^2-28y+17=0

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Solution for 12y^2-28y+17=0 equation:


Simplifying
12y2 + -28y + 17 = 0

Reorder the terms:
17 + -28y + 12y2 = 0

Solving
17 + -28y + 12y2 = 0

Solving for variable 'y'.

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

Divide each side by '12'.
1.416666667 + -2.333333333y + y2 = 0

Move the constant term to the right:

Add '-1.416666667' to each side of the equation.
1.416666667 + -2.333333333y + -1.416666667 + y2 = 0 + -1.416666667

Reorder the terms:
1.416666667 + -1.416666667 + -2.333333333y + y2 = 0 + -1.416666667

Combine like terms: 1.416666667 + -1.416666667 = 0.000000000
0.000000000 + -2.333333333y + y2 = 0 + -1.416666667
-2.333333333y + y2 = 0 + -1.416666667

Combine like terms: 0 + -1.416666667 = -1.416666667
-2.333333333y + y2 = -1.416666667

The y term is -2.333333333y.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333y + 1.361111112 + y2 = -1.416666667 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333y + y2 = -1.416666667 + 1.361111112

Combine like terms: -1.416666667 + 1.361111112 = -0.055555555
1.361111112 + -2.333333333y + y2 = -0.055555555

Factor a perfect square on the left side:
(y + -1.166666667)(y + -1.166666667) = -0.055555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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