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Simplifying 10p2 + -59p + 45 = 0 Reorder the terms: 45 + -59p + 10p2 = 0 Solving 45 + -59p + 10p2 = 0 Solving for variable 'p'. Factor a trinomial. (9 + -10p)(5 + -1p) = 0Subproblem 1
Set the factor '(9 + -10p)' equal to zero and attempt to solve: Simplifying 9 + -10p = 0 Solving 9 + -10p = 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 + -10p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10p = 0 + -9 -10p = 0 + -9 Combine like terms: 0 + -9 = -9 -10p = -9 Divide each side by '-10'. p = 0.9 Simplifying p = 0.9Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 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 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Solution
p = {0.9, 5}
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