9p^2-25p^2-6p=0

Solution for 9p^2-25p^2-6p=0 equation:

Simplifying
9p2 + -25p2 + -6p = 0

Reorder the terms:
-6p + 9p2 + -25p2 = 0

Combine like terms: 9p2 + -25p2 = -16p2
-6p + -16p2 = 0

Solving
-6p + -16p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-2p'.
-2p(3 + 8p) = 0

Ignore the factor -2.
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}