n^2-10n+42=0

Solution for n^2-10n+42=0 equation:

Simplifying
n2 + -10n + 42 = 0

Reorder the terms:
42 + -10n + n2 = 0

Solving
42 + -10n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + -10n + -42 + n2 = 0 + -42

Reorder the terms:
42 + -42 + -10n + n2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -10n + n2 = 0 + -42
-10n + n2 = 0 + -42

Combine like terms: 0 + -42 = -42
-10n + n2 = -42

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 = -42 + 25

Reorder the terms:
25 + -10n + n2 = -42 + 25

Combine like terms: -42 + 25 = -17
25 + -10n + n2 = -17

Factor a perfect square on the left side:
(n + -5)(n + -5) = -17

Can't calculate square root of the right side.

The solution to this equation could not be determined.