n(3-8)2n+-4-n=48

Solution for n(3-8)2n+-4-n=48 equation:

Simplifying
n(3 + -8) * 2n + -4 + -1n = 48

Combine like terms: 3 + -8 = -5
n(-5) * 2n + -4 + -1n = 48

Reorder the terms for easier multiplication:
-5 * 2n * n + -4 + -1n = 48

Multiply -5 * 2
-10n * n + -4 + -1n = 48

Multiply n * n
-10n2 + -4 + -1n = 48

Reorder the terms:
-4 + -1n + -10n2 = 48

Solving
-4 + -1n + -10n2 = 48

Solving for variable 'n'.

Reorder the terms:
-4 + -48 + -1n + -10n2 = 48 + -48

Combine like terms: -4 + -48 = -52
-52 + -1n + -10n2 = 48 + -48

Combine like terms: 48 + -48 = 0
-52 + -1n + -10n2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(52 + n + 10n2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(52 + n + 10n2)' equal to zero and attempt to solve:

Simplifying
52 + n + 10n2 = 0

Solving
52 + n + 10n2 = 0

Begin completing the square.  Divide all terms by
10 the coefficient of the squared term: 

Divide each side by '10'.
5.2 + 0.1n + n2 = 0.0

Move the constant term to the right:

Add '-5.2' to each side of the equation.
5.2 + 0.1n + -5.2 + n2 = 0.0 + -5.2

Reorder the terms:
5.2 + -5.2 + 0.1n + n2 = 0.0 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + 0.1n + n2 = 0.0 + -5.2
0.1n + n2 = 0.0 + -5.2

Combine like terms: 0.0 + -5.2 = -5.2
0.1n + n2 = -5.2

The n term is n.  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.
0.1n + 0.25 + n2 = -5.2 + 0.25

Reorder the terms:
0.25 + 0.1n + n2 = -5.2 + 0.25

Combine like terms: -5.2 + 0.25 = -4.95
0.25 + 0.1n + n2 = -4.95

Factor a perfect square on the left side:
(n + 0.5)(n + 0.5) = -4.95

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.