2p^2-15p+22=0

Solution for 2p^2-15p+22=0 equation:

Simplifying
2p2 + -15p + 22 = 0

Reorder the terms:
22 + -15p + 2p2 = 0

Solving
22 + -15p + 2p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(2 + -1p)(11 + -2p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(11 + -2p)' equal to zero and attempt to solve:

Simplifying
11 + -2p = 0

Solving
11 + -2p = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2p = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2p = 0 + -11
-2p = 0 + -11

Combine like terms: 0 + -11 = -11
-2p = -11

Divide each side by '-2'.
p = 5.5

Simplifying
p = 5.5
Solution
p = {2, 5.5}