y^2-3y+72=0

Solution for y^2-3y+72=0 equation:

Simplifying
y2 + -3y + 72 = 0

Reorder the terms:
72 + -3y + y2 = 0

Solving
72 + -3y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + -3y + -72 + y2 = 0 + -72

Reorder the terms:
72 + -72 + -3y + y2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -3y + y2 = 0 + -72
-3y + y2 = 0 + -72

Combine like terms: 0 + -72 = -72
-3y + y2 = -72

The y term is -3y.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3y + 2.25 + y2 = -72 + 2.25

Reorder the terms:
2.25 + -3y + y2 = -72 + 2.25

Combine like terms: -72 + 2.25 = -69.75
2.25 + -3y + y2 = -69.75

Factor a perfect square on the left side:
(y + -1.5)(y + -1.5) = -69.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.