p(p+5)=36

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Solution for p(p+5)=36 equation:


Simplifying
p(p + 5) = 36

Reorder the terms:
p(5 + p) = 36
(5 * p + p * p) = 36
(5p + p2) = 36

Solving
5p + p2 = 36

Solving for variable 'p'.

Reorder the terms:
-36 + 5p + p2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 5p + p2 = 0

Factor a trinomial.
(-9 + -1p)(4 + -1p) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4

Solution

p = {-9, 4}

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