(p+2)(p+10)=

Solution for (p+2)(p+10)= equation:

Simplifying
(p + 2)(p + 10) = 0

Reorder the terms:
(2 + p)(p + 10) = 0

Reorder the terms:
(2 + p)(10 + p) = 0

Multiply (2 + p) * (10 + p)
(2(10 + p) + p(10 + p)) = 0
((10 * 2 + p * 2) + p(10 + p)) = 0
((20 + 2p) + p(10 + p)) = 0
(20 + 2p + (10 * p + p * p)) = 0
(20 + 2p + (10p + p2)) = 0

Combine like terms: 2p + 10p = 12p
(20 + 12p + p2) = 0

Solving
20 + 12p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(10 + p)(2 + p) = 0

Subproblem 1
Set the factor '(10 + p)' equal to zero and attempt to solve:

Simplifying
10 + p = 0

Solving
10 + p = 0

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

Add '-10' to each side of the equation.
10 + -10 + p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + p = 0 + -10
p = 0 + -10

Combine like terms: 0 + -10 = -10
p = -10

Simplifying
p = -10
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 = {-10, -2}