12p^2-36p+24=0

Solution for 12p^2-36p+24=0 equation:

Simplifying
12p2 + -36p + 24 = 0

Reorder the terms:
24 + -36p + 12p2 = 0

Solving
24 + -36p + 12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '12'.
12(2 + -3p + p2) = 0

Factor a trinomial.
12((1 + -1p)(2 + -1p)) = 0

Ignore the factor 12.
Subproblem 1
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
Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 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 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {1, 2}