4p^2+36p=-81

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Solution for 4p^2+36p=-81 equation:


Simplifying
4p2 + 36p = -81

Reorder the terms:
36p + 4p2 = -81

Solving
36p + 4p2 = -81

Solving for variable 'p'.

Reorder the terms:
81 + 36p + 4p2 = -81 + 81

Combine like terms: -81 + 81 = 0
81 + 36p + 4p2 = 0

Factor a trinomial.
(9 + 2p)(9 + 2p) = 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 '(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

Solution

p = {-4.5, -4.5}

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