25p^2-10p-3=0

Solution for 25p^2-10p-3=0 equation:

Simplifying
25p2 + -10p + -3 = 0

Reorder the terms:
-3 + -10p + 25p2 = 0

Solving
-3 + -10p + 25p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-1 + -5p)(3 + -5p) = 0

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

Simplifying
-1 + -5p = 0

Solving
-1 + -5p = 0

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

Add '1' to each side of the equation.
-1 + 1 + -5p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5p = 0 + 1
-5p = 0 + 1

Combine like terms: 0 + 1 = 1
-5p = 1

Divide each side by '-5'.
p = -0.2

Simplifying
p = -0.2
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 = {-0.2, 0.6}