2p^2+11p+9=0

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Solution for 2p^2+11p+9=0 equation:


Simplifying
2p2 + 11p + 9 = 0

Reorder the terms:
9 + 11p + 2p2 = 0

Solving
9 + 11p + 2p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(9 + 2p)(1 + p) = 0

Subproblem 1

Set the factor '(9 + 2p)' equal to zero and attempt to solve: Simplifying 9 + 2p = 0 Solving 9 + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2p = 0 + -9 2p = 0 + -9 Combine like terms: 0 + -9 = -9 2p = -9 Divide each side by '2'. p = -4.5 Simplifying p = -4.5

Subproblem 2

Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1

Solution

p = {-4.5, -1}

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