11p=-30-p^2

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Solution for 11p=-30-p^2 equation:


Simplifying
11p = -30 + -1p2

Solving
11p = -30 + -1p2

Solving for variable 'p'.

Reorder the terms:
30 + 11p + p2 = -30 + -1p2 + 30 + p2

Reorder the terms:
30 + 11p + p2 = -30 + 30 + -1p2 + p2

Combine like terms: -30 + 30 = 0
30 + 11p + p2 = 0 + -1p2 + p2
30 + 11p + p2 = -1p2 + p2

Combine like terms: -1p2 + p2 = 0
30 + 11p + p2 = 0

Factor a trinomial.
(6 + p)(5 + p) = 0

Subproblem 1

Set the factor '(6 + p)' equal to zero and attempt to solve: Simplifying 6 + p = 0 Solving 6 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + p = 0 + -6 p = 0 + -6 Combine like terms: 0 + -6 = -6 p = -6 Simplifying p = -6

Subproblem 2

Set the factor '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5

Solution

p = {-6, -5}

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