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Simplifying 18(p2 + -1) = 77p Reorder the terms: 18(-1 + p2) = 77p (-1 * 18 + p2 * 18) = 77p (-18 + 18p2) = 77p Solving -18 + 18p2 = 77p Solving for variable 'p'. Reorder the terms: -18 + -77p + 18p2 = 77p + -77p Combine like terms: 77p + -77p = 0 -18 + -77p + 18p2 = 0 Factor a trinomial. (-2 + -9p)(9 + -2p) = 0Subproblem 1
Set the factor '(-2 + -9p)' equal to zero and attempt to solve: Simplifying -2 + -9p = 0 Solving -2 + -9p = 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 + -9p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9p = 0 + 2 -9p = 0 + 2 Combine like terms: 0 + 2 = 2 -9p = 2 Divide each side by '-9'. p = -0.2222222222 Simplifying p = -0.2222222222Subproblem 2
Set the factor '(9 + -2p)' equal to zero and attempt to solve: Simplifying 9 + -2p = 0 Solving 9 + -2p = 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 + -2p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2p = 0 + -9 -2p = 0 + -9 Combine like terms: 0 + -9 = -9 -2p = -9 Divide each side by '-2'. p = 4.5 Simplifying p = 4.5Solution
p = {-0.2222222222, 4.5}
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