n^2-12n+45=0

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Solution for n^2-12n+45=0 equation:


Simplifying
n2 + -12n + 45 = 0

Reorder the terms:
45 + -12n + n2 = 0

Solving
45 + -12n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-45' to each side of the equation.
45 + -12n + -45 + n2 = 0 + -45

Reorder the terms:
45 + -45 + -12n + n2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -12n + n2 = 0 + -45
-12n + n2 = 0 + -45

Combine like terms: 0 + -45 = -45
-12n + n2 = -45

The n term is -12n.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12n + 36 + n2 = -45 + 36

Reorder the terms:
36 + -12n + n2 = -45 + 36

Combine like terms: -45 + 36 = -9
36 + -12n + n2 = -9

Factor a perfect square on the left side:
(n + -6)(n + -6) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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