20p^2-32p+12=0

Solution for 20p^2-32p+12=0 equation:

Simplifying
20p2 + -32p + 12 = 0

Reorder the terms:
12 + -32p + 20p2 = 0

Solving
12 + -32p + 20p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -8p + 5p2) = 0

Factor a trinomial.
4((3 + -5p)(1 + -1p)) = 0

Ignore the factor 4.
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 '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

Solving
1 + -1p = 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 + -1p = 0 + -1

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

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

Divide each side by '-1'.
p = 1

Simplifying
p = 1
Solution
p = {0.6, 1}