3y^2+25y+100=0

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Solution for 3y^2+25y+100=0 equation:


Simplifying
3y2 + 25y + 100 = 0

Reorder the terms:
100 + 25y + 3y2 = 0

Solving
100 + 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'.
33.33333333 + 8.333333333y + y2 = 0

Move the constant term to the right:

Add '-33.33333333' to each side of the equation.
33.33333333 + 8.333333333y + -33.33333333 + y2 = 0 + -33.33333333

Reorder the terms:
33.33333333 + -33.33333333 + 8.333333333y + y2 = 0 + -33.33333333

Combine like terms: 33.33333333 + -33.33333333 = 0.00000000
0.00000000 + 8.333333333y + y2 = 0 + -33.33333333
8.333333333y + y2 = 0 + -33.33333333

Combine like terms: 0 + -33.33333333 = -33.33333333
8.333333333y + y2 = -33.33333333

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 = -33.33333333 + 17.36111111

Reorder the terms:
17.36111111 + 8.333333333y + y2 = -33.33333333 + 17.36111111

Combine like terms: -33.33333333 + 17.36111111 = -15.97222222
17.36111111 + 8.333333333y + y2 = -15.97222222

Factor a perfect square on the left side:
(y + 4.166666667)(y + 4.166666667) = -15.97222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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