4n^2=-36n

Solution for 4n^2=-36n equation:

Simplifying
4n2 = -36n

Solving
4n2 = -36n

Solving for variable 'n'.

Reorder the terms:
36n + 4n2 = -36n + 36n

Combine like terms: -36n + 36n = 0
36n + 4n2 = 0

Factor out the Greatest Common Factor (GCF), '4n'.
4n(9 + n) = 0

Ignore the factor 4.
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 '(9 + n)' equal to zero and attempt to solve:

Simplifying
9 + n = 0

Solving
9 + n = 0

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

Add '-9' to each side of the equation.
9 + -9 + n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + n = 0 + -9
n = 0 + -9

Combine like terms: 0 + -9 = -9
n = -9

Simplifying
n = -9
Solution
n = {0, -9}