y^2-15y+60=0

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Solution for y^2-15y+60=0 equation:


Simplifying
y2 + -15y + 60 = 0

Reorder the terms:
60 + -15y + y2 = 0

Solving
60 + -15y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + -15y + -60 + y2 = 0 + -60

Reorder the terms:
60 + -60 + -15y + y2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -15y + y2 = 0 + -60
-15y + y2 = 0 + -60

Combine like terms: 0 + -60 = -60
-15y + y2 = -60

The y term is -15y.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15y + 56.25 + y2 = -60 + 56.25

Reorder the terms:
56.25 + -15y + y2 = -60 + 56.25

Combine like terms: -60 + 56.25 = -3.75
56.25 + -15y + y2 = -3.75

Factor a perfect square on the left side:
(y + -7.5)(y + -7.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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