(2p+4)(3p-3)=

Solution for (2p+4)(3p-3)= equation:

Simplifying
(2p + 4)(3p + -3) = 0

Reorder the terms:
(4 + 2p)(3p + -3) = 0

Reorder the terms:
(4 + 2p)(-3 + 3p) = 0

Multiply (4 + 2p) * (-3 + 3p)
(4(-3 + 3p) + 2p * (-3 + 3p)) = 0
((-3 * 4 + 3p * 4) + 2p * (-3 + 3p)) = 0
((-12 + 12p) + 2p * (-3 + 3p)) = 0
(-12 + 12p + (-3 * 2p + 3p * 2p)) = 0
(-12 + 12p + (-6p + 6p2)) = 0

Combine like terms: 12p + -6p = 6p
(-12 + 6p + 6p2) = 0

Solving
-12 + 6p + 6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + p + p2) = 0

Factor a trinomial.
6((-2 + -1p)(1 + -1p)) = 0

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

Solving
1 + -1p = 0

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

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

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

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

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

Simplifying
p = 1
Solution
p = {-2, 1}