u^2-18u=-160

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Solution for u^2-18u=-160 equation:


Simplifying
u2 + -18u = -160

Reorder the terms:
-18u + u2 = -160

Solving
-18u + u2 = -160

Solving for variable 'u'.

Reorder the terms:
160 + -18u + u2 = -160 + 160

Combine like terms: -160 + 160 = 0
160 + -18u + u2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-160' to each side of the equation.
160 + -18u + -160 + u2 = 0 + -160

Reorder the terms:
160 + -160 + -18u + u2 = 0 + -160

Combine like terms: 160 + -160 = 0
0 + -18u + u2 = 0 + -160
-18u + u2 = 0 + -160

Combine like terms: 0 + -160 = -160
-18u + u2 = -160

The u term is -18u.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18u + 81 + u2 = -160 + 81

Reorder the terms:
81 + -18u + u2 = -160 + 81

Combine like terms: -160 + 81 = -79
81 + -18u + u2 = -79

Factor a perfect square on the left side:
(u + -9)(u + -9) = -79

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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