u^2-3u+72=0

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

Simplifying
u2 + -3u + 72 = 0

Reorder the terms:
72 + -3u + u2 = 0

Solving
72 + -3u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + -3u + -72 + u2 = 0 + -72

Reorder the terms:
72 + -72 + -3u + u2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -3u + u2 = 0 + -72
-3u + u2 = 0 + -72

Combine like terms: 0 + -72 = -72
-3u + u2 = -72

The u term is -3u.  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.
-3u + 2.25 + u2 = -72 + 2.25

Reorder the terms:
2.25 + -3u + u2 = -72 + 2.25

Combine like terms: -72 + 2.25 = -69.75
2.25 + -3u + u2 = -69.75

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.