(p-6)(4p+2)=

Solution for (p-6)(4p+2)= equation:

Simplifying
(p + -6)(4p + 2) = 0

Reorder the terms:
(-6 + p)(4p + 2) = 0

Reorder the terms:
(-6 + p)(2 + 4p) = 0

Multiply (-6 + p) * (2 + 4p)
(-6(2 + 4p) + p(2 + 4p)) = 0
((2 * -6 + 4p * -6) + p(2 + 4p)) = 0
((-12 + -24p) + p(2 + 4p)) = 0
(-12 + -24p + (2 * p + 4p * p)) = 0
(-12 + -24p + (2p + 4p2)) = 0

Combine like terms: -24p + 2p = -22p
(-12 + -22p + 4p2) = 0

Solving
-12 + -22p + 4p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -11p + 2p2) = 0

Factor a trinomial.
2((-1 + -2p)(6 + -1p)) = 0

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

Simplifying
-1 + -2p = 0

Solving
-1 + -2p = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2p = 0 + 1
-2p = 0 + 1

Combine like terms: 0 + 1 = 1
-2p = 1

Divide each side by '-2'.
p = -0.5

Simplifying
p = -0.5
Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {-0.5, 6}