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

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

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

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

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

Multiply (-6 + 5p) * (2 + 2p)
(-6(2 + 2p) + 5p * (2 + 2p)) = 0
((2 * -6 + 2p * -6) + 5p * (2 + 2p)) = 0
((-12 + -12p) + 5p * (2 + 2p)) = 0
(-12 + -12p + (2 * 5p + 2p * 5p)) = 0
(-12 + -12p + (10p + 10p2)) = 0

Combine like terms: -12p + 10p = -2p
(-12 + -2p + 10p2) = 0

Solving
-12 + -2p + 10p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -1p + 5p2) = 0

Factor a trinomial.
2((-1 + -1p)(6 + -5p)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(6 + -5p)' equal to zero and attempt to solve:

Simplifying
6 + -5p = 0

Solving
6 + -5p = 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 + -5p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5p = 0 + -6
-5p = 0 + -6

Combine like terms: 0 + -6 = -6
-5p = -6

Divide each side by '-5'.
p = 1.2

Simplifying
p = 1.2
Solution
p = {-1, 1.2}