(-2p-1)(-4p+4)=

Solution for (-2p-1)(-4p+4)= equation:

Simplifying
(-2p + -1)(-4p + 4) = 0

Reorder the terms:
(-1 + -2p)(-4p + 4) = 0

Reorder the terms:
(-1 + -2p)(4 + -4p) = 0

Multiply (-1 + -2p) * (4 + -4p)
(-1(4 + -4p) + -2p * (4 + -4p)) = 0
((4 * -1 + -4p * -1) + -2p * (4 + -4p)) = 0
((-4 + 4p) + -2p * (4 + -4p)) = 0
(-4 + 4p + (4 * -2p + -4p * -2p)) = 0
(-4 + 4p + (-8p + 8p2)) = 0

Combine like terms: 4p + -8p = -4p
(-4 + -4p + 8p2) = 0

Solving
-4 + -4p + 8p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -1p + 2p2) = 0

Factor a trinomial.
4((-1 + -2p)(1 + -1p)) = 0

Ignore the factor 4.
Subproblem 1
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
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 = {-0.5, 1}