(8+p)(12+p)=

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Solution for (8+p)(12+p)= equation: 


Simplifying
(8 + p)(12 + p) = 0

Multiply (8 + p) * (12 + p)
(8(12 + p) + p(12 + p)) = 0
((12 * 8 + p * 8) + p(12 + p)) = 0
((96 + 8p) + p(12 + p)) = 0
(96 + 8p + (12 * p + p * p)) = 0
(96 + 8p + (12p + p2)) = 0

Combine like terms: 8p + 12p = 20p
(96 + 20p + p2) = 0

Solving
96 + 20p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(12 + p)(8 + p) = 0


Subproblem 1
Set the factor '(12 + p)' equal to zero and attempt to solve:

Simplifying
12 + p = 0

Solving
12 + p = 0

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

Add '-12' to each side of the equation.
12 + -12 + p = 0 + -12

Combine like terms: 12 + -12 = 0
0 + p = 0 + -12
p = 0 + -12

Combine like terms: 0 + -12 = -12
p = -12

Simplifying
p = -12

Subproblem 2
Set the factor '(8 + p)' equal to zero and attempt to solve:

Simplifying
8 + p = 0

Solving
8 + p = 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 + p = 0 + -8

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

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

Simplifying
p = -8
Solution
p = {-12, -8}

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