54-192p+90p^2=0

Solution for 54-192p+90p^2=0 equation:

Simplifying
54 + -192p + 90p2 = 0

Solving
54 + -192p + 90p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6'.
6(9 + -32p + 15p2) = 0

Factor a trinomial.
6((1 + -3p)(9 + -5p)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(1 + -3p)' equal to zero and attempt to solve:

Simplifying
1 + -3p = 0

Solving
1 + -3p = 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 + -3p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3p = 0 + -1
-3p = 0 + -1

Combine like terms: 0 + -1 = -1
-3p = -1

Divide each side by '-3'.
p = 0.3333333333

Simplifying
p = 0.3333333333
Subproblem 2
Set the factor '(9 + -5p)' equal to zero and attempt to solve:

Simplifying
9 + -5p = 0

Solving
9 + -5p = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5p = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5p = 0 + -9
-5p = 0 + -9

Combine like terms: 0 + -9 = -9
-5p = -9

Divide each side by '-5'.
p = 1.8

Simplifying
p = 1.8
Solution
p = {0.3333333333, 1.8}