-n(5n+8)+8(n+2)=

Solution for -n(5n+8)+8(n+2)= equation:

Simplifying
-1n(5n + 8) + 8(n + 2) = 0

Reorder the terms:
-1n(8 + 5n) + 8(n + 2) = 0
(8 * -1n + 5n * -1n) + 8(n + 2) = 0
(-8n + -5n2) + 8(n + 2) = 0

Reorder the terms:
-8n + -5n2 + 8(2 + n) = 0
-8n + -5n2 + (2 * 8 + n * 8) = 0
-8n + -5n2 + (16 + 8n) = 0

Reorder the terms:
16 + -8n + 8n + -5n2 = 0

Combine like terms: -8n + 8n = 0
16 + 0 + -5n2 = 0
16 + -5n2 = 0

Solving
16 + -5n2 = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + -5n2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5n2 = 0 + -16
-5n2 = 0 + -16

Combine like terms: 0 + -16 = -16
-5n2 = -16

Divide each side by '-5'.
n2 = 3.2

Simplifying
n2 = 3.2

Take the square root of each side:
n = {-1.788854382, 1.788854382}