(-8p+8)(6p+4)=0

Solution for (-8p+8)(6p+4)=0 equation:

Simplifying
(-8p + 8)(6p + 4) = 0

Reorder the terms:
(8 + -8p)(6p + 4) = 0

Reorder the terms:
(8 + -8p)(4 + 6p) = 0

Multiply (8 + -8p) * (4 + 6p)
(8(4 + 6p) + -8p * (4 + 6p)) = 0
((4 * 8 + 6p * 8) + -8p * (4 + 6p)) = 0
((32 + 48p) + -8p * (4 + 6p)) = 0
(32 + 48p + (4 * -8p + 6p * -8p)) = 0
(32 + 48p + (-32p + -48p2)) = 0

Combine like terms: 48p + -32p = 16p
(32 + 16p + -48p2) = 0

Solving
32 + 16p + -48p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '16'.
16(2 + p + -3p2) = 0

Factor a trinomial.
16((1 + -1p)(2 + 3p)) = 0

Ignore the factor 16.
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 '(2 + 3p)' equal to zero and attempt to solve:

Simplifying
2 + 3p = 0

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

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

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

Divide each side by '3'.
p = -0.6666666667

Simplifying
p = -0.6666666667
Solution
p = {1, -0.6666666667}