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

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

Simplifying
-5n2 + n = -6n2

Reorder the terms:
n + -5n2 = -6n2

Solving
n + -5n2 = -6n2

Solving for variable 'n'.

Combine like terms: -5n2 + 6n2 = 1n2
n + 1n2 = -6n2 + 6n2

Combine like terms: -6n2 + 6n2 = 0
n + 1n2 = 0

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

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve:

Simplifying
1 + n = 0

Solving
1 + n = 0

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

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

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

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

Simplifying
n = -1
Solution
n = {0, -1}