(11p-8)(4p+6)=

Solution for (11p-8)(4p+6)= equation:

Simplifying
(11p + -8)(4p + 6) = 0

Reorder the terms:
(-8 + 11p)(4p + 6) = 0

Reorder the terms:
(-8 + 11p)(6 + 4p) = 0

Multiply (-8 + 11p) * (6 + 4p)
(-8(6 + 4p) + 11p * (6 + 4p)) = 0
((6 * -8 + 4p * -8) + 11p * (6 + 4p)) = 0
((-48 + -32p) + 11p * (6 + 4p)) = 0
(-48 + -32p + (6 * 11p + 4p * 11p)) = 0
(-48 + -32p + (66p + 44p2)) = 0

Combine like terms: -32p + 66p = 34p
(-48 + 34p + 44p2) = 0

Solving
-48 + 34p + 44p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 17p + 22p2) = 0

Factor a trinomial.
2((-3 + -2p)(8 + -11p)) = 0

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

Simplifying
-3 + -2p = 0

Solving
-3 + -2p = 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 + -2p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2p = 0 + 3
-2p = 0 + 3

Combine like terms: 0 + 3 = 3
-2p = 3

Divide each side by '-2'.
p = -1.5

Simplifying
p = -1.5
Subproblem 2
Set the factor '(8 + -11p)' equal to zero and attempt to solve:

Simplifying
8 + -11p = 0

Solving
8 + -11p = 0

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

Add '-8' to each side of the equation.
8 + -8 + -11p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -11p = 0 + -8
-11p = 0 + -8

Combine like terms: 0 + -8 = -8
-11p = -8

Divide each side by '-11'.
p = 0.7272727273

Simplifying
p = 0.7272727273
Solution
p = {-1.5, 0.7272727273}