(2p+3)(p-2)=

Solution for (2p+3)(p-2)= equation:

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

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

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

Multiply (3 + 2p) * (-2 + p)
(3(-2 + p) + 2p * (-2 + p)) = 0
((-2 * 3 + p * 3) + 2p * (-2 + p)) = 0
((-6 + 3p) + 2p * (-2 + p)) = 0
(-6 + 3p + (-2 * 2p + p * 2p)) = 0
(-6 + 3p + (-4p + 2p2)) = 0

Combine like terms: 3p + -4p = -1p
(-6 + -1p + 2p2) = 0

Solving
-6 + -1p + 2p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-3 + -2p)(2 + -1p) = 0

Subproblem 1
Set the factor '(-3 + -2p)' equal to zero and attempt to solve:

Simplifying
-3 + -2p = 0

Solving
-3 + -2p = 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 + -2p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2p = 0 + 3
-2p = 0 + 3

Combine like terms: 0 + 3 = 3
-2p = 3

Divide each side by '-2'.
p = -1.5

Simplifying
p = -1.5
Subproblem 2
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
Solution
p = {-1.5, 2}