p^2+28=-11p

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Solution for p^2+28=-11p equation:


Simplifying
p2 + 28 = -11p

Reorder the terms:
28 + p2 = -11p

Solving
28 + p2 = -11p

Solving for variable 'p'.

Reorder the terms:
28 + 11p + p2 = -11p + 11p

Combine like terms: -11p + 11p = 0
28 + 11p + p2 = 0

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

Subproblem 1

Set the factor '(7 + p)' equal to zero and attempt to solve: Simplifying 7 + p = 0 Solving 7 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p = 0 + -7 p = 0 + -7 Combine like terms: 0 + -7 = -7 p = -7 Simplifying p = -7

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 = {-7, -4}

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