-25p^2+30p-9=0

Solution for -25p^2+30p-9=0 equation:

Simplifying
-25p2 + 30p + -9 = 0

Reorder the terms:
-9 + 30p + -25p2 = 0

Solving
-9 + 30p + -25p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-3 + 5p)(3 + -5p) = 0

Subproblem 1
Set the factor '(-3 + 5p)' equal to zero and attempt to solve:

Simplifying
-3 + 5p = 0

Solving
-3 + 5p = 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 + 5p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5p = 0 + 3
5p = 0 + 3

Combine like terms: 0 + 3 = 3
5p = 3

Divide each side by '5'.
p = 0.6

Simplifying
p = 0.6
Subproblem 2
Set the factor '(3 + -5p)' equal to zero and attempt to solve:

Simplifying
3 + -5p = 0

Solving
3 + -5p = 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 + -5p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5p = 0 + -3
-5p = 0 + -3

Combine like terms: 0 + -3 = -3
-5p = -3

Divide each side by '-5'.
p = 0.6

Simplifying
p = 0.6
Solution
p = {0.6, 0.6}