p(p+2)=99

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Solution for p(p+2)=99 equation:


Simplifying
p(p + 2) = 99

Reorder the terms:
p(2 + p) = 99
(2 * p + p * p) = 99
(2p + p2) = 99

Solving
2p + p2 = 99

Solving for variable 'p'.

Reorder the terms:
-99 + 2p + p2 = 99 + -99

Combine like terms: 99 + -99 = 0
-99 + 2p + p2 = 0

Factor a trinomial.
(-11 + -1p)(9 + -1p) = 0

Subproblem 1

Set the factor '(-11 + -1p)' equal to zero and attempt to solve: Simplifying -11 + -1p = 0 Solving -11 + -1p = 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 + -1p = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1p = 0 + 11 -1p = 0 + 11 Combine like terms: 0 + 11 = 11 -1p = 11 Divide each side by '-1'. p = -11 Simplifying p = -11

Subproblem 2

Set the factor '(9 + -1p)' equal to zero and attempt to solve: Simplifying 9 + -1p = 0 Solving 9 + -1p = 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 + -1p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1p = 0 + -9 -1p = 0 + -9 Combine like terms: 0 + -9 = -9 -1p = -9 Divide each side by '-1'. p = 9 Simplifying p = 9

Solution

p = {-11, 9}

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