-2n^2-n-2=-3n^2

Solution for -2n^2-n-2=-3n^2 equation:

Simplifying
-2n2 + -1n + -2 = -3n2

Reorder the terms:
-2 + -1n + -2n2 = -3n2

Solving
-2 + -1n + -2n2 = -3n2

Solving for variable 'n'.

Combine like terms: -2n2 + 3n2 = 1n2
-2 + -1n + 1n2 = -3n2 + 3n2

Combine like terms: -3n2 + 3n2 = 0
-2 + -1n + 1n2 = 0

Factor a trinomial.
(-1 + -1n)(2 + -1n) = 0

Subproblem 1
Set the factor '(-1 + -1n)' equal to zero and attempt to solve:

Simplifying
-1 + -1n = 0

Solving
-1 + -1n = 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 + -1n = 0 + 1

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

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

Divide each side by '-1'.
n = -1

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

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Solution
n = {-1, 2}