(2p-5)(p-3)=0

Solution for (2p-5)(p-3)=0 equation:

Simplifying
(2p + -5)(p + -3) = 0

Reorder the terms:
(-5 + 2p)(p + -3) = 0

Reorder the terms:
(-5 + 2p)(-3 + p) = 0

Multiply (-5 + 2p) * (-3 + p)
(-5(-3 + p) + 2p * (-3 + p)) = 0
((-3 * -5 + p * -5) + 2p * (-3 + p)) = 0
((15 + -5p) + 2p * (-3 + p)) = 0
(15 + -5p + (-3 * 2p + p * 2p)) = 0
(15 + -5p + (-6p + 2p2)) = 0

Combine like terms: -5p + -6p = -11p
(15 + -11p + 2p2) = 0

Solving
15 + -11p + 2p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(5 + -2p)(3 + -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 '(3 + -1p)' equal to zero and attempt to solve:

Simplifying
3 + -1p = 0

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

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

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

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Solution
p = {2.5, 3}