p^2+19p+60=

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Solution for p^2+19p+60= equation:


Simplifying
p2 + 19p + 60 = 0

Reorder the terms:
60 + 19p + p2 = 0

Solving
60 + 19p + p2 = 0

Solving for variable 'p'.

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

Subproblem 1

Set the factor '(15 + p)' equal to zero and attempt to solve: Simplifying 15 + p = 0 Solving 15 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + p = 0 + -15 p = 0 + -15 Combine like terms: 0 + -15 = -15 p = -15 Simplifying p = -15

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 = {-15, -4}

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