(-p+9)(-2p-5)=0

Solution for (-p+9)(-2p-5)=0 equation:

Simplifying
(-1p + 9)(-2p + -5) = 0

Reorder the terms:
(9 + -1p)(-2p + -5) = 0

Reorder the terms:
(9 + -1p)(-5 + -2p) = 0

Multiply (9 + -1p) * (-5 + -2p)
(9(-5 + -2p) + -1p * (-5 + -2p)) = 0
((-5 * 9 + -2p * 9) + -1p * (-5 + -2p)) = 0
((-45 + -18p) + -1p * (-5 + -2p)) = 0
(-45 + -18p + (-5 * -1p + -2p * -1p)) = 0
(-45 + -18p + (5p + 2p2)) = 0

Combine like terms: -18p + 5p = -13p
(-45 + -13p + 2p2) = 0

Solving
-45 + -13p + 2p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-5 + -2p)(9 + -1p) = 0

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

Simplifying
-5 + -2p = 0

Solving
-5 + -2p = 0

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

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

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

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

Divide each side by '-2'.
p = -2.5

Simplifying
p = -2.5
Subproblem 2
Set the factor '(9 + -1p)' equal to zero and attempt to solve:

Simplifying
9 + -1p = 0

Solving
9 + -1p = 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 + -1p = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1p = 0 + -9
-1p = 0 + -9

Combine like terms: 0 + -9 = -9
-1p = -9

Divide each side by '-1'.
p = 9

Simplifying
p = 9
Solution
p = {-2.5, 9}