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Simplifying p2 + -9p = 90 Reorder the terms: -9p + p2 = 90 Solving -9p + p2 = 90 Solving for variable 'p'. Reorder the terms: -90 + -9p + p2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + -9p + p2 = 0 Factor a trinomial. (-6 + -1p)(15 + -1p) = 0Subproblem 1
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 = -6Subproblem 2
Set the factor '(15 + -1p)' equal to zero and attempt to solve: Simplifying 15 + -1p = 0 Solving 15 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1p = 0 + -15 -1p = 0 + -15 Combine like terms: 0 + -15 = -15 -1p = -15 Divide each side by '-1'. p = 15 Simplifying p = 15Solution
p = {-6, 15}
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