2y^2-37y+242=0

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Solution for 2y^2-37y+242=0 equation:


Simplifying
2y2 + -37y + 242 = 0

Reorder the terms:
242 + -37y + 2y2 = 0

Solving
242 + -37y + 2y2 = 0

Solving for variable 'y'.

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

Divide each side by '2'.
121 + -18.5y + y2 = 0

Move the constant term to the right:

Add '-121' to each side of the equation.
121 + -18.5y + -121 + y2 = 0 + -121

Reorder the terms:
121 + -121 + -18.5y + y2 = 0 + -121

Combine like terms: 121 + -121 = 0
0 + -18.5y + y2 = 0 + -121
-18.5y + y2 = 0 + -121

Combine like terms: 0 + -121 = -121
-18.5y + y2 = -121

The y term is -18.5y.  Take half its coefficient (-9.25).
Square it (85.5625) and add it to both sides.

Add '85.5625' to each side of the equation.
-18.5y + 85.5625 + y2 = -121 + 85.5625

Reorder the terms:
85.5625 + -18.5y + y2 = -121 + 85.5625

Combine like terms: -121 + 85.5625 = -35.4375
85.5625 + -18.5y + y2 = -35.4375

Factor a perfect square on the left side:
(y + -9.25)(y + -9.25) = -35.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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