n^2-2n=-48

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Solution for n^2-2n=-48 equation:


Simplifying
n2 + -2n = -48

Reorder the terms:
-2n + n2 = -48

Solving
-2n + n2 = -48

Solving for variable 'n'.

Reorder the terms:
48 + -2n + n2 = -48 + 48

Combine like terms: -48 + 48 = 0
48 + -2n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + -2n + -48 + n2 = 0 + -48

Reorder the terms:
48 + -48 + -2n + n2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -2n + n2 = 0 + -48
-2n + n2 = 0 + -48

Combine like terms: 0 + -48 = -48
-2n + n2 = -48

The n term is -2n.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2n + 1 + n2 = -48 + 1

Reorder the terms:
1 + -2n + n2 = -48 + 1

Combine like terms: -48 + 1 = -47
1 + -2n + n2 = -47

Factor a perfect square on the left side:
(n + -1)(n + -1) = -47

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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