16=4p(-4-(-7-p))

Solution for 16=4p(-4-(-7-p)) equation:

Simplifying
16 = 4p(-4 + -1(-7 + -1p))
16 = 4p(-4 + (-7 * -1 + -1p * -1))
16 = 4p(-4 + (7 + 1p))

Combine like terms: -4 + 7 = 3
16 = 4p(3 + 1p)
16 = (3 * 4p + 1p * 4p)
16 = (12p + 4p2)

Solving
16 = 12p + 4p2

Solving for variable 'p'.

Reorder the terms:
16 + -12p + -4p2 = 12p + -12p + 4p2 + -4p2

Combine like terms: 12p + -12p = 0
16 + -12p + -4p2 = 0 + 4p2 + -4p2
16 + -12p + -4p2 = 4p2 + -4p2

Combine like terms: 4p2 + -4p2 = 0
16 + -12p + -4p2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + -3p + -1p2) = 0

Factor a trinomial.
4((1 + -1p)(4 + p)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

Solving
1 + -1p = 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 + -1p = 0 + -1

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

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

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

Simplifying
p = 1
Subproblem 2
Set the factor '(4 + p)' equal to zero and attempt to solve:

Simplifying
4 + p = 0

Solving
4 + p = 0

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

Add '-4' to each side of the equation.
4 + -4 + p = 0 + -4

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

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

Simplifying
p = -4
Solution
p = {1, -4}