(4+2p)(3-4p)=

Solution for (4+2p)(3-4p)= equation:

Simplifying
(4 + 2p)(3 + -4p) = 0

Multiply (4 + 2p) * (3 + -4p)
(4(3 + -4p) + 2p * (3 + -4p)) = 0
((3 * 4 + -4p * 4) + 2p * (3 + -4p)) = 0
((12 + -16p) + 2p * (3 + -4p)) = 0
(12 + -16p + (3 * 2p + -4p * 2p)) = 0
(12 + -16p + (6p + -8p2)) = 0

Combine like terms: -16p + 6p = -10p
(12 + -10p + -8p2) = 0

Solving
12 + -10p + -8p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -5p + -4p2) = 0

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

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

Simplifying
2 + p = 0

Solving
2 + p = 0

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

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

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

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

Simplifying
p = -2
Solution
p = {0.75, -2}