-24r^2=9r

Solution for -24r^2=9r equation:

Simplifying
-24r2 = 9r

Solving
-24r2 = 9r

Solving for variable 'r'.

Reorder the terms:
-9r + -24r2 = 9r + -9r

Combine like terms: 9r + -9r = 0
-9r + -24r2 = 0

Factor out the Greatest Common Factor (GCF), '-3r'.
-3r(3 + 8r) = 0

Ignore the factor -3.
Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(3 + 8r)' equal to zero and attempt to solve:

Simplifying
3 + 8r = 0

Solving
3 + 8r = 0

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

Add '-3' to each side of the equation.
3 + -3 + 8r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8r = 0 + -3
8r = 0 + -3

Combine like terms: 0 + -3 = -3
8r = -3

Divide each side by '8'.
r = -0.375

Simplifying
r = -0.375
Solution
r = {0, -0.375}