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Simplifying -1p2 + 19p + -90 = 0 Reorder the terms: -90 + 19p + -1p2 = 0 Solving -90 + 19p + -1p2 = 0 Solving for variable 'p'. Factor a trinomial. (-10 + p)(9 + -1p) = 0Subproblem 1
Set the factor '(-10 + p)' equal to zero and attempt to solve: Simplifying -10 + p = 0 Solving -10 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + p = 0 + 10 Combine like terms: -10 + 10 = 0 0 + p = 0 + 10 p = 0 + 10 Combine like terms: 0 + 10 = 10 p = 10 Simplifying p = 10Subproblem 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 = 9Solution
p = {10, 9}
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