u^2-22u+180=0

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Solution for u^2-22u+180=0 equation:


Simplifying
u2 + -22u + 180 = 0

Reorder the terms:
180 + -22u + u2 = 0

Solving
180 + -22u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-180' to each side of the equation.
180 + -22u + -180 + u2 = 0 + -180

Reorder the terms:
180 + -180 + -22u + u2 = 0 + -180

Combine like terms: 180 + -180 = 0
0 + -22u + u2 = 0 + -180
-22u + u2 = 0 + -180

Combine like terms: 0 + -180 = -180
-22u + u2 = -180

The u term is -22u.  Take half its coefficient (-11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
-22u + 121 + u2 = -180 + 121

Reorder the terms:
121 + -22u + u2 = -180 + 121

Combine like terms: -180 + 121 = -59
121 + -22u + u2 = -59

Factor a perfect square on the left side:
(u + -11)(u + -11) = -59

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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