p(p)-3p=18

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Solution for p(p)-3p=18 equation:


Simplifying
p(p) + -3p = 18

Multiply p * p
p2 + -3p = 18

Reorder the terms:
-3p + p2 = 18

Solving
-3p + p2 = 18

Solving for variable 'p'.

Reorder the terms:
-18 + -3p + p2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + -3p + p2 = 0

Factor a trinomial.
(-3 + -1p)(6 + -1p) = 0

Subproblem 1

Set the factor '(-3 + -1p)' equal to zero and attempt to solve: Simplifying -3 + -1p = 0 Solving -3 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = 0 + 3 -1p = 0 + 3 Combine like terms: 0 + 3 = 3 -1p = 3 Divide each side by '-1'. p = -3 Simplifying p = -3

Subproblem 2

Set the factor '(6 + -1p)' equal to zero and attempt to solve: Simplifying 6 + -1p = 0 Solving 6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1p = 0 + -6 -1p = 0 + -6 Combine like terms: 0 + -6 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6

Solution

p = {-3, 6}

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