2n^2=-3n

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

Simplifying
2n2 = -3n

Solving
2n2 = -3n

Solving for variable 'n'.

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

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(3 + 2n) = 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 '(3 + 2n)' equal to zero and attempt to solve:

Simplifying
3 + 2n = 0

Solving
3 + 2n = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2n = 0 + -3

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

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

Divide each side by '2'.
n = -1.5

Simplifying
n = -1.5
Solution
n = {0, -1.5}