3y^2-49y=-240

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Solution for 3y^2-49y=-240 equation:


Simplifying
3y2 + -49y = -240

Reorder the terms:
-49y + 3y2 = -240

Solving
-49y + 3y2 = -240

Solving for variable 'y'.

Reorder the terms:
240 + -49y + 3y2 = -240 + 240

Combine like terms: -240 + 240 = 0
240 + -49y + 3y2 = 0

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

Divide each side by '3'.
80 + -16.33333333y + y2 = 0

Move the constant term to the right:

Add '-80' to each side of the equation.
80 + -16.33333333y + -80 + y2 = 0 + -80

Reorder the terms:
80 + -80 + -16.33333333y + y2 = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -16.33333333y + y2 = 0 + -80
-16.33333333y + y2 = 0 + -80

Combine like terms: 0 + -80 = -80
-16.33333333y + y2 = -80

The y term is -16.33333333y.  Take half its coefficient (-8.166666665).
Square it (66.69444442) and add it to both sides.

Add '66.69444442' to each side of the equation.
-16.33333333y + 66.69444442 + y2 = -80 + 66.69444442

Reorder the terms:
66.69444442 + -16.33333333y + y2 = -80 + 66.69444442

Combine like terms: -80 + 66.69444442 = -13.30555558
66.69444442 + -16.33333333y + y2 = -13.30555558

Factor a perfect square on the left side:
(y + -8.166666665)(y + -8.166666665) = -13.30555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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