n^2-30n+255=0

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Solution for n^2-30n+255=0 equation:


Simplifying
n2 + -30n + 255 = 0

Reorder the terms:
255 + -30n + n2 = 0

Solving
255 + -30n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-255' to each side of the equation.
255 + -30n + -255 + n2 = 0 + -255

Reorder the terms:
255 + -255 + -30n + n2 = 0 + -255

Combine like terms: 255 + -255 = 0
0 + -30n + n2 = 0 + -255
-30n + n2 = 0 + -255

Combine like terms: 0 + -255 = -255
-30n + n2 = -255

The n term is -30n.  Take half its coefficient (-15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
-30n + 225 + n2 = -255 + 225

Reorder the terms:
225 + -30n + n2 = -255 + 225

Combine like terms: -255 + 225 = -30
225 + -30n + n2 = -30

Factor a perfect square on the left side:
(n + -15)(n + -15) = -30

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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