(2p+5)(p-6)=

Solution for (2p+5)(p-6)= equation:

Simplifying
(2p + 5)(p + -6) = 0

Reorder the terms:
(5 + 2p)(p + -6) = 0

Reorder the terms:
(5 + 2p)(-6 + p) = 0

Multiply (5 + 2p) * (-6 + p)
(5(-6 + p) + 2p * (-6 + p)) = 0
((-6 * 5 + p * 5) + 2p * (-6 + p)) = 0
((-30 + 5p) + 2p * (-6 + p)) = 0
(-30 + 5p + (-6 * 2p + p * 2p)) = 0
(-30 + 5p + (-12p + 2p2)) = 0

Combine like terms: 5p + -12p = -7p
(-30 + -7p + 2p2) = 0

Solving
-30 + -7p + 2p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-5 + -2p)(6 + -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 '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {-2.5, 6}