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Simplifying 2p2 + -9p + -143 = 0 Reorder the terms: -143 + -9p + 2p2 = 0 Solving -143 + -9p + 2p2 = 0 Solving for variable 'p'. Factor a trinomial. (-13 + -2p)(11 + -1p) = 0Subproblem 1
Set the factor '(-13 + -2p)' equal to zero and attempt to solve: Simplifying -13 + -2p = 0 Solving -13 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2p = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2p = 0 + 13 -2p = 0 + 13 Combine like terms: 0 + 13 = 13 -2p = 13 Divide each side by '-2'. p = -6.5 Simplifying p = -6.5Subproblem 2
Set the factor '(11 + -1p)' equal to zero and attempt to solve: Simplifying 11 + -1p = 0 Solving 11 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1p = 0 + -11 -1p = 0 + -11 Combine like terms: 0 + -11 = -11 -1p = -11 Divide each side by '-1'. p = 11 Simplifying p = 11Solution
p = {-6.5, 11}
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