12y^2+5y+1=0

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Solution for 12y^2+5y+1=0 equation:


Simplifying
12y2 + 5y + 1 = 0

Reorder the terms:
1 + 5y + 12y2 = 0

Solving
1 + 5y + 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'.
0.08333333333 + 0.4166666667y + y2 = 0

Move the constant term to the right:

Add '-0.08333333333' to each side of the equation.
0.08333333333 + 0.4166666667y + -0.08333333333 + y2 = 0 + -0.08333333333

Reorder the terms:
0.08333333333 + -0.08333333333 + 0.4166666667y + y2 = 0 + -0.08333333333

Combine like terms: 0.08333333333 + -0.08333333333 = 0.00000000000
0.00000000000 + 0.4166666667y + y2 = 0 + -0.08333333333
0.4166666667y + y2 = 0 + -0.08333333333

Combine like terms: 0 + -0.08333333333 = -0.08333333333
0.4166666667y + y2 = -0.08333333333

The y term is 0.4166666667y.  Take half its coefficient (0.2083333334).
Square it (0.04340277781) and add it to both sides.

Add '0.04340277781' to each side of the equation.
0.4166666667y + 0.04340277781 + y2 = -0.08333333333 + 0.04340277781

Reorder the terms:
0.04340277781 + 0.4166666667y + y2 = -0.08333333333 + 0.04340277781

Combine like terms: -0.08333333333 + 0.04340277781 = -0.03993055552
0.04340277781 + 0.4166666667y + y2 = -0.03993055552

Factor a perfect square on the left side:
(y + 0.2083333334)(y + 0.2083333334) = -0.03993055552

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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