n+10-2n=-5n(n+2)

Solution for n+10-2n=-5n(n+2) equation:

Simplifying
n + 10 + -2n = -5n(n + 2)

Reorder the terms:
10 + n + -2n = -5n(n + 2)

Combine like terms: n + -2n = -1n
10 + -1n = -5n(n + 2)

Reorder the terms:
10 + -1n = -5n(2 + n)
10 + -1n = (2 * -5n + n * -5n)
10 + -1n = (-10n + -5n2)

Solving
10 + -1n = -10n + -5n2

Solving for variable 'n'.

Combine like terms: -1n + 10n = 9n
10 + 9n + 5n2 = -10n + -5n2 + 10n + 5n2

Reorder the terms:
10 + 9n + 5n2 = -10n + 10n + -5n2 + 5n2

Combine like terms: -10n + 10n = 0
10 + 9n + 5n2 = 0 + -5n2 + 5n2
10 + 9n + 5n2 = -5n2 + 5n2

Combine like terms: -5n2 + 5n2 = 0
10 + 9n + 5n2 = 0

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

Divide each side by '5'.
2 + 1.8n + n2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 1.8n + -2 + n2 = 0 + -2

Reorder the terms:
2 + -2 + 1.8n + n2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1.8n + n2 = 0 + -2
1.8n + n2 = 0 + -2

Combine like terms: 0 + -2 = -2
1.8n + n2 = -2

The n term is 1.8n.  Take half its coefficient (0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
1.8n + 0.81 + n2 = -2 + 0.81

Reorder the terms:
0.81 + 1.8n + n2 = -2 + 0.81

Combine like terms: -2 + 0.81 = -1.19
0.81 + 1.8n + n2 = -1.19

Factor a perfect square on the left side:
(n + 0.9)(n + 0.9) = -1.19

Can't calculate square root of the right side.

The solution to this equation could not be determined.