-24n^2=36n

Solution for -24n^2=36n equation:

Simplifying
-24n2 = 36n

Solving
-24n2 = 36n

Solving for variable 'n'.

Reorder the terms:
-36n + -24n2 = 36n + -36n

Combine like terms: 36n + -36n = 0
-36n + -24n2 = 0

Factor out the Greatest Common Factor (GCF), '-12n'.
-12n(3 + 2n) = 0

Ignore the factor -12.
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}