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Simplifying 0 = 5p2 + -1p + -18 Reorder the terms: 0 = -18 + -1p + 5p2 Solving 0 = -18 + -1p + 5p2 Solving for variable 'p'. Combine like terms: 0 + 18 = 18 18 + p + -5p2 = -18 + -1p + 5p2 + 18 + p + -5p2 Reorder the terms: 18 + p + -5p2 = -18 + 18 + -1p + p + 5p2 + -5p2 Combine like terms: -18 + 18 = 0 18 + p + -5p2 = 0 + -1p + p + 5p2 + -5p2 18 + p + -5p2 = -1p + p + 5p2 + -5p2 Combine like terms: -1p + p = 0 18 + p + -5p2 = 0 + 5p2 + -5p2 18 + p + -5p2 = 5p2 + -5p2 Combine like terms: 5p2 + -5p2 = 0 18 + p + -5p2 = 0 Factor a trinomial. (2 + -1p)(9 + 5p) = 0Subproblem 1
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Subproblem 2
Set the factor '(9 + 5p)' equal to zero and attempt to solve: Simplifying 9 + 5p = 0 Solving 9 + 5p = 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 + 5p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5p = 0 + -9 5p = 0 + -9 Combine like terms: 0 + -9 = -9 5p = -9 Divide each side by '5'. p = -1.8 Simplifying p = -1.8Solution
p = {2, -1.8}
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