9p-p^2-20=0

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Solution for 9p-p^2-20=0 equation:


Simplifying
9p + -1p2 + -20 = 0

Reorder the terms:
-20 + 9p + -1p2 = 0

Solving
-20 + 9p + -1p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-5 + p)(4 + -1p) = 0

Subproblem 1

Set the factor '(-5 + p)' equal to zero and attempt to solve: Simplifying -5 + p = 0 Solving -5 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + p = 0 + 5 p = 0 + 5 Combine like terms: 0 + 5 = 5 p = 5 Simplifying p = 5

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 = {5, 4}

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