n^2-10n=-50

Solution for n^2-10n=-50 equation:

Simplifying
n2 + -10n = -50

Reorder the terms:
-10n + n2 = -50

Solving
-10n + n2 = -50

Solving for variable 'n'.

Reorder the terms:
50 + -10n + n2 = -50 + 50

Combine like terms: -50 + 50 = 0
50 + -10n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + -10n + -50 + n2 = 0 + -50

Reorder the terms:
50 + -50 + -10n + n2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -10n + n2 = 0 + -50
-10n + n2 = 0 + -50

Combine like terms: 0 + -50 = -50
-10n + n2 = -50

The n term is -10n.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10n + 25 + n2 = -50 + 25

Reorder the terms:
25 + -10n + n2 = -50 + 25

Combine like terms: -50 + 25 = -25
25 + -10n + n2 = -25

Factor a perfect square on the left side:
(n + -5)(n + -5) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.