p^2+9p+14=0

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Solution for p^2+9p+14=0 equation:


Simplifying
p2 + 9p + 14 = 0

Reorder the terms:
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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