72u=-9u^2

Solution for 72u=-9u^2 equation:

Simplifying
72u = -9u2

Solving
72u = -9u2

Solving for variable 'u'.

Combine like terms: -9u2 + 9u2 = 0
72u + 9u2 = 0

Factor out the Greatest Common Factor (GCF), '9u'.
9u(8 + u) = 0

Ignore the factor 9.
Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
Set the factor '(8 + u)' equal to zero and attempt to solve:

Simplifying
8 + u = 0

Solving
8 + u = 0

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

Add '-8' to each side of the equation.
8 + -8 + u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + u = 0 + -8
u = 0 + -8

Combine like terms: 0 + -8 = -8
u = -8

Simplifying
u = -8
Solution
u = {0, -8}