8p^2+120p+448=0

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Solution for 8p^2+120p+448=0 equation: 


Simplifying
8p2 + 120p + 448 = 0

Reorder the terms:
448 + 120p + 8p2 = 0

Solving
448 + 120p + 8p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '8'.
8(56 + 15p + p2) = 0

Factor a trinomial.
8((8 + p)(7 + p)) = 0

Ignore the factor 8.

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 '(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
Solution
p = {-8, -7}

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