3y^2+16y+35=0

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Solution for 3y^2+16y+35=0 equation:


Simplifying
3y2 + 16y + 35 = 0

Reorder the terms:
35 + 16y + 3y2 = 0

Solving
35 + 16y + 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'.
11.66666667 + 5.333333333y + y2 = 0

Move the constant term to the right:

Add '-11.66666667' to each side of the equation.
11.66666667 + 5.333333333y + -11.66666667 + y2 = 0 + -11.66666667

Reorder the terms:
11.66666667 + -11.66666667 + 5.333333333y + y2 = 0 + -11.66666667

Combine like terms: 11.66666667 + -11.66666667 = 0.00000000
0.00000000 + 5.333333333y + y2 = 0 + -11.66666667
5.333333333y + y2 = 0 + -11.66666667

Combine like terms: 0 + -11.66666667 = -11.66666667
5.333333333y + y2 = -11.66666667

The y term is 5.333333333y.  Take half its coefficient (2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
5.333333333y + 7.111111113 + y2 = -11.66666667 + 7.111111113

Reorder the terms:
7.111111113 + 5.333333333y + y2 = -11.66666667 + 7.111111113

Combine like terms: -11.66666667 + 7.111111113 = -4.555555557
7.111111113 + 5.333333333y + y2 = -4.555555557

Factor a perfect square on the left side:
(y + 2.666666667)(y + 2.666666667) = -4.555555557

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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