n^2-30n+252=0

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Solution for n^2-30n+252=0 equation:


Simplifying
n2 + -30n + 252 = 0

Reorder the terms:
252 + -30n + n2 = 0

Solving
252 + -30n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-252' to each side of the equation.
252 + -30n + -252 + n2 = 0 + -252

Reorder the terms:
252 + -252 + -30n + n2 = 0 + -252

Combine like terms: 252 + -252 = 0
0 + -30n + n2 = 0 + -252
-30n + n2 = 0 + -252

Combine like terms: 0 + -252 = -252
-30n + n2 = -252

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 = -252 + 225

Reorder the terms:
225 + -30n + n2 = -252 + 225

Combine like terms: -252 + 225 = -27
225 + -30n + n2 = -27

Factor a perfect square on the left side:
(n + -15)(n + -15) = -27

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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