25p^2-40p+12=0

Solution for 25p^2-40p+12=0 equation:

Simplifying
25p2 + -40p + 12 = 0

Reorder the terms:
12 + -40p + 25p2 = 0

Solving
12 + -40p + 25p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(2 + -5p)(6 + -5p) = 0

Subproblem 1
Set the factor '(2 + -5p)' equal to zero and attempt to solve:

Simplifying
2 + -5p = 0

Solving
2 + -5p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5p = 0 + -2
-5p = 0 + -2

Combine like terms: 0 + -2 = -2
-5p = -2

Divide each side by '-5'.
p = 0.4

Simplifying
p = 0.4
Subproblem 2
Set the factor '(6 + -5p)' equal to zero and attempt to solve:

Simplifying
6 + -5p = 0

Solving
6 + -5p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5p = 0 + -6
-5p = 0 + -6

Combine like terms: 0 + -6 = -6
-5p = -6

Divide each side by '-5'.
p = 1.2

Simplifying
p = 1.2
Solution
p = {0.4, 1.2}