5y^2-64y+220=0

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Solution for 5y^2-64y+220=0 equation:


Simplifying
5y2 + -64y + 220 = 0

Reorder the terms:
220 + -64y + 5y2 = 0

Solving
220 + -64y + 5y2 = 0

Solving for variable 'y'.

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

Divide each side by '5'.
44 + -12.8y + y2 = 0

Move the constant term to the right:

Add '-44' to each side of the equation.
44 + -12.8y + -44 + y2 = 0 + -44

Reorder the terms:
44 + -44 + -12.8y + y2 = 0 + -44

Combine like terms: 44 + -44 = 0
0 + -12.8y + y2 = 0 + -44
-12.8y + y2 = 0 + -44

Combine like terms: 0 + -44 = -44
-12.8y + y2 = -44

The y term is -12.8y.  Take half its coefficient (-6.4).
Square it (40.96) and add it to both sides.

Add '40.96' to each side of the equation.
-12.8y + 40.96 + y2 = -44 + 40.96

Reorder the terms:
40.96 + -12.8y + y2 = -44 + 40.96

Combine like terms: -44 + 40.96 = -3.04
40.96 + -12.8y + y2 = -3.04

Factor a perfect square on the left side:
(y + -6.4)(y + -6.4) = -3.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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