p(p+9)=-8

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Solution for p(p+9)=-8 equation:


Simplifying
p(p + 9) = -8

Reorder the terms:
p(9 + p) = -8
(9 * p + p * p) = -8
(9p + p2) = -8

Solving
9p + p2 = -8

Solving for variable 'p'.

Reorder the terms:
8 + 9p + p2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 9p + p2 = 0

Factor a trinomial.
(8 + p)(1 + p) = 0

Subproblem 1

Set the factor '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8

Subproblem 2

Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 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 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1

Solution

p = {-8, -1}

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