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Simplifying P2 = 18P + -77 Reorder the terms: P2 = -77 + 18P Solving P2 = -77 + 18P Solving for variable 'P'. Reorder the terms: 77 + -18P + P2 = -77 + 18P + 77 + -18P Reorder the terms: 77 + -18P + P2 = -77 + 77 + 18P + -18P Combine like terms: -77 + 77 = 0 77 + -18P + P2 = 0 + 18P + -18P 77 + -18P + P2 = 18P + -18P Combine like terms: 18P + -18P = 0 77 + -18P + P2 = 0 Factor a trinomial. (7 + -1P)(11 + -1P) = 0Subproblem 1
Set the factor '(7 + -1P)' equal to zero and attempt to solve: Simplifying 7 + -1P = 0 Solving 7 + -1P = 0 Move all terms containing P to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1P = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1P = 0 + -7 -1P = 0 + -7 Combine like terms: 0 + -7 = -7 -1P = -7 Divide each side by '-1'. P = 7 Simplifying P = 7Subproblem 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 = {7, 11}
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