-4n^2+6-16=-5n^2

Solution for -4n^2+6-16=-5n^2 equation:

Simplifying
-4n2 + 6 + -16 = -5n2

Reorder the terms:
6 + -16 + -4n2 = -5n2

Combine like terms: 6 + -16 = -10
-10 + -4n2 = -5n2

Solving
-10 + -4n2 = -5n2

Solving for variable 'n'.

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

Add '5n2' to each side of the equation.
-10 + -4n2 + 5n2 = -5n2 + 5n2

Combine like terms: -4n2 + 5n2 = 1n2
-10 + 1n2 = -5n2 + 5n2

Combine like terms: -5n2 + 5n2 = 0
-10 + 1n2 = 0

Add '10' to each side of the equation.
-10 + 10 + 1n2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 1n2 = 0 + 10
1n2 = 0 + 10

Combine like terms: 0 + 10 = 10
1n2 = 10

Divide each side by '1'.
n2 = 10

Simplifying
n2 = 10

Take the square root of each side:
n = {-3.16227766, 3.16227766}