(6p+3)(-2p+2)=

Solution for (6p+3)(-2p+2)= equation:

Simplifying
(6p + 3)(-2p + 2) = 0

Reorder the terms:
(3 + 6p)(-2p + 2) = 0

Reorder the terms:
(3 + 6p)(2 + -2p) = 0

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

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

Solving
6 + 6p + -12p2 = 0

Solving for variable 'p'.

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

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

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

Simplifying
1 + 2p = 0

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

Combine like terms: 1 + -1 = 0
0 + 2p = 0 + -1
2p = 0 + -1

Combine like terms: 0 + -1 = -1
2p = -1

Divide each side by '2'.
p = -0.5

Simplifying
p = -0.5
Solution
p = {1, -0.5}