(2p-8)(5p+3)=

Solution for (2p-8)(5p+3)= equation:

Simplifying
(2p + -8)(5p + 3) = 0

Reorder the terms:
(-8 + 2p)(5p + 3) = 0

Reorder the terms:
(-8 + 2p)(3 + 5p) = 0

Multiply (-8 + 2p) * (3 + 5p)
(-8(3 + 5p) + 2p * (3 + 5p)) = 0
((3 * -8 + 5p * -8) + 2p * (3 + 5p)) = 0
((-24 + -40p) + 2p * (3 + 5p)) = 0
(-24 + -40p + (3 * 2p + 5p * 2p)) = 0
(-24 + -40p + (6p + 10p2)) = 0

Combine like terms: -40p + 6p = -34p
(-24 + -34p + 10p2) = 0

Solving
-24 + -34p + 10p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -17p + 5p2) = 0

Factor a trinomial.
2((-3 + -5p)(4 + -1p)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -5p)' equal to zero and attempt to solve:

Simplifying
-3 + -5p = 0

Solving
-3 + -5p = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5p = 0 + 3
-5p = 0 + 3

Combine like terms: 0 + 3 = 3
-5p = 3

Divide each side by '-5'.
p = -0.6

Simplifying
p = -0.6
Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve:

Simplifying
4 + -1p = 0

Solving
4 + -1p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 0 + -4
-1p = 0 + -4

Combine like terms: 0 + -4 = -4
-1p = -4

Divide each side by '-1'.
p = 4

Simplifying
p = 4
Solution
p = {-0.6, 4}