n^2-18n+693=0

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Solution for n^2-18n+693=0 equation:


Simplifying
n2 + -18n + 693 = 0

Reorder the terms:
693 + -18n + n2 = 0

Solving
693 + -18n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-693' to each side of the equation.
693 + -18n + -693 + n2 = 0 + -693

Reorder the terms:
693 + -693 + -18n + n2 = 0 + -693

Combine like terms: 693 + -693 = 0
0 + -18n + n2 = 0 + -693
-18n + n2 = 0 + -693

Combine like terms: 0 + -693 = -693
-18n + n2 = -693

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

Add '81' to each side of the equation.
-18n + 81 + n2 = -693 + 81

Reorder the terms:
81 + -18n + n2 = -693 + 81

Combine like terms: -693 + 81 = -612
81 + -18n + n2 = -612

Factor a perfect square on the left side:
(n + -9)(n + -9) = -612

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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