p^2+12p+40=8

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Solution for p^2+12p+40=8 equation: 


Simplifying
p2 + 12p + 40 = 8

Reorder the terms:
40 + 12p + p2 = 8

Solving
40 + 12p + p2 = 8

Solving for variable 'p'.

Reorder the terms:
40 + -8 + 12p + p2 = 8 + -8

Combine like terms: 40 + -8 = 32
32 + 12p + p2 = 8 + -8

Combine like terms: 8 + -8 = 0
32 + 12p + p2 = 0

Factor a trinomial.
(8 + p)(4 + p) = 0


Subproblem 1
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

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 = {-8, -4}

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