4p^2+164p+81=

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Solution for 4p^2+164p+81= equation:


Simplifying
4p2 + 164p + 81 = 0

Reorder the terms:
81 + 164p + 4p2 = 0

Solving
81 + 164p + 4p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(81 + 2p)(1 + 2p) = 0

Subproblem 1

Set the factor '(81 + 2p)' equal to zero and attempt to solve: Simplifying 81 + 2p = 0 Solving 81 + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 2p = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 2p = 0 + -81 2p = 0 + -81 Combine like terms: 0 + -81 = -81 2p = -81 Divide each side by '2'. p = -40.5 Simplifying p = -40.5

Subproblem 2

Set the factor '(1 + 2p)' equal to zero and attempt to solve: Simplifying 1 + 2p = 0 Solving 1 + 2p = 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 + 2p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2p = 0 + -1 2p = 0 + -1 Combine like terms: 0 + -1 = -1 2p = -1 Divide each side by '2'. p = -0.5 Simplifying p = -0.5

Solution

p = {-40.5, -0.5}

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