(p+7)(p+2)=0

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Solution for (p+7)(p+2)=0 equation: 


Simplifying
(p + 7)(p + 2) = 0

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

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

Multiply (7 + p) * (2 + p)
(7(2 + p) + p(2 + p)) = 0
((2 * 7 + p * 7) + p(2 + p)) = 0
((14 + 7p) + p(2 + p)) = 0
(14 + 7p + (2 * p + p * p)) = 0
(14 + 7p + (2p + p2)) = 0

Combine like terms: 7p + 2p = 9p
(14 + 9p + p2) = 0

Solving
14 + 9p + p2 = 0

Solving for variable 'p'.

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


Subproblem 1
Set the factor '(7 + p)' equal to zero and attempt to solve:

Simplifying
7 + p = 0

Solving
7 + p = 0

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

Add '-7' to each side of the equation.
7 + -7 + p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + p = 0 + -7
p = 0 + -7

Combine like terms: 0 + -7 = -7
p = -7

Simplifying
p = -7

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 = {-7, -2}

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