p^2+14p+48p=0

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Solution for p^2+14p+48p=0 equation: 


Simplifying
p2 + 14p + 48p = 0

Reorder the terms:
14p + 48p + p2 = 0

Combine like terms: 14p + 48p = 62p
62p + p2 = 0

Solving
62p + p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(62 + p) = 0


Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

Subproblem 2
Set the factor '(62 + p)' equal to zero and attempt to solve:

Simplifying
62 + p = 0

Solving
62 + p = 0

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

Add '-62' to each side of the equation.
62 + -62 + p = 0 + -62

Combine like terms: 62 + -62 = 0
0 + p = 0 + -62
p = 0 + -62

Combine like terms: 0 + -62 = -62
p = -62

Simplifying
p = -62
Solution
p = {0, -62}

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