-2p(8p+6)=

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

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

Reorder the terms:
-2p(6 + 8p) = 0
(6 * -2p + 8p * -2p) = 0
(-12p + -16p2) = 0

Solving
-12p + -16p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-4p'.
-4p(3 + 4p) = 0

Ignore the factor -4.
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 '(3 + 4p)' equal to zero and attempt to solve:

Simplifying
3 + 4p = 0

Solving
3 + 4p = 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 + 4p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4p = 0 + -3
4p = 0 + -3

Combine like terms: 0 + -3 = -3
4p = -3

Divide each side by '4'.
p = -0.75

Simplifying
p = -0.75
Solution
p = {0, -0.75}