n(n-1)=-32

Solution for n(n-1)=-32 equation:

Simplifying
n(n + -1) = -32

Reorder the terms:
n(-1 + n) = -32
(-1 * n + n * n) = -32
(-1n + n2) = -32

Solving
-1n + n2 = -32

Solving for variable 'n'.

Reorder the terms:
32 + -1n + n2 = -32 + 32

Combine like terms: -32 + 32 = 0
32 + -1n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -1n + -32 + n2 = 0 + -32

Reorder the terms:
32 + -32 + -1n + n2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1n + n2 = 0 + -32
-1n + n2 = 0 + -32

Combine like terms: 0 + -32 = -32
-1n + n2 = -32

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 = -32 + 0.25

Reorder the terms:
0.25 + -1n + n2 = -32 + 0.25

Combine like terms: -32 + 0.25 = -31.75
0.25 + -1n + n2 = -31.75

Factor a perfect square on the left side:
(n + -0.5)(n + -0.5) = -31.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.