u^2-16u+66=0

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Solution for u^2-16u+66=0 equation:


Simplifying
u2 + -16u + 66 = 0

Reorder the terms:
66 + -16u + u2 = 0

Solving
66 + -16u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-66' to each side of the equation.
66 + -16u + -66 + u2 = 0 + -66

Reorder the terms:
66 + -66 + -16u + u2 = 0 + -66

Combine like terms: 66 + -66 = 0
0 + -16u + u2 = 0 + -66
-16u + u2 = 0 + -66

Combine like terms: 0 + -66 = -66
-16u + u2 = -66

The u term is -16u.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16u + 64 + u2 = -66 + 64

Reorder the terms:
64 + -16u + u2 = -66 + 64

Combine like terms: -66 + 64 = -2
64 + -16u + u2 = -2

Factor a perfect square on the left side:
(u + -8)(u + -8) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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