(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 = -1p
(-15 + -1p + 2p2) = 0

Solving
-15 + -1p + 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}