-2p(8p+5y-6)=

Solution for -2p(8p+5y-6)= equation:

Simplifying
-2p(8p + 5y + -6) = 0

Reorder the terms:
-2p(-6 + 8p + 5y) = 0
(-6 * -2p + 8p * -2p + 5y * -2p) = 0

Reorder the terms:
(12p + -10py + -16p2) = 0
(12p + -10py + -16p2) = 0

Solving
12p + -10py + -16p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2p'.
2p(6 + -5y + -8p) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(6 + -5y + -8p)' equal to zero and attempt to solve:

Simplifying
6 + -5y + -8p = 0

Reorder the terms:
6 + -8p + -5y = 0

Solving
6 + -8p + -5y = 0

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

Add '-6' to each side of the equation.
6 + -8p + -6 + -5y = 0 + -6

Reorder the terms:
6 + -6 + -8p + -5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -8p + -5y = 0 + -6
-8p + -5y = 0 + -6

Combine like terms: 0 + -6 = -6
-8p + -5y = -6

Add '5y' to each side of the equation.
-8p + -5y + 5y = -6 + 5y

Combine like terms: -5y + 5y = 0
-8p + 0 = -6 + 5y
-8p = -6 + 5y

Divide each side by '-8'.
p = 0.75 + -0.625y

Simplifying
p = 0.75 + -0.625y
Solution
p = {0, 0.75 + -0.625y}