15p=-44-p^2

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Solution for 15p=-44-p^2 equation:


Simplifying
15p = -44 + -1p2

Solving
15p = -44 + -1p2

Solving for variable 'p'.

Reorder the terms:
44 + 15p + p2 = -44 + -1p2 + 44 + p2

Reorder the terms:
44 + 15p + p2 = -44 + 44 + -1p2 + p2

Combine like terms: -44 + 44 = 0
44 + 15p + p2 = 0 + -1p2 + p2
44 + 15p + p2 = -1p2 + p2

Combine like terms: -1p2 + p2 = 0
44 + 15p + p2 = 0

Factor a trinomial.
(11 + p)(4 + p) = 0

Subproblem 1

Set the factor '(11 + p)' equal to zero and attempt to solve: Simplifying 11 + p = 0 Solving 11 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + p = 0 + -11 p = 0 + -11 Combine like terms: 0 + -11 = -11 p = -11 Simplifying p = -11

Subproblem 2

Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4

Solution

p = {-11, -4}

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