-24p^2=9p

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

Simplifying
-24p2 = 9p

Solving
-24p2 = 9p

Solving for variable 'p'.

Reorder the terms:
-9p + -24p2 = 9p + -9p

Combine like terms: 9p + -9p = 0
-9p + -24p2 = 0

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

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

Simplifying
p = 0

Solving
p = 0

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

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

Simplifying
3 + 8p = 0

Solving
3 + 8p = 0

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

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

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

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

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

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