(5-2p)*(4-8p)=

Solution for (5-2p)*(4-8p)= equation:

Simplifying
(5 + -2p)(4 + -8p) = 0

Multiply (5 + -2p) * (4 + -8p)
(5(4 + -8p) + -2p * (4 + -8p)) = 0
((4 * 5 + -8p * 5) + -2p * (4 + -8p)) = 0
((20 + -40p) + -2p * (4 + -8p)) = 0
(20 + -40p + (4 * -2p + -8p * -2p)) = 0
(20 + -40p + (-8p + 16p2)) = 0

Combine like terms: -40p + -8p = -48p
(20 + -48p + 16p2) = 0

Solving
20 + -48p + 16p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + -12p + 4p2) = 0

Factor a trinomial.
4((1 + -2p)(5 + -2p)) = 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 '(5 + -2p)' equal to zero and attempt to solve:

Simplifying
5 + -2p = 0

Solving
5 + -2p = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2p = 0 + -5
-2p = 0 + -5

Combine like terms: 0 + -5 = -5
-2p = -5

Divide each side by '-2'.
p = 2.5

Simplifying
p = 2.5
Solution
p = {0.5, 2.5}