n(n-1)-5=-7

Solution for n(n-1)-5=-7 equation:

Simplifying
n(n + -1) + -5 = -7

Reorder the terms:
n(-1 + n) + -5 = -7
(-1 * n + n * n) + -5 = -7
(-1n + n2) + -5 = -7

Reorder the terms:
-5 + -1n + n2 = -7

Solving
-5 + -1n + n2 = -7

Solving for variable 'n'.

Reorder the terms:
-5 + 7 + -1n + n2 = -7 + 7

Combine like terms: -5 + 7 = 2
2 + -1n + n2 = -7 + 7

Combine like terms: -7 + 7 = 0
2 + -1n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1n + -2 + n2 = 0 + -2

Reorder the terms:
2 + -2 + -1n + n2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n + n2 = 0 + -2
-1n + n2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1n + n2 = -2

The n term is -1n.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1n + 0.25 + n2 = -2 + 0.25

Reorder the terms:
0.25 + -1n + n2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + -1n + n2 = -1.75

Factor a perfect square on the left side:
(n + -0.5)(n + -0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.