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Simplifying p2 = -18p + -80 Reorder the terms: p2 = -80 + -18p Solving p2 = -80 + -18p Solving for variable 'p'. Reorder the terms: 80 + 18p + p2 = -80 + -18p + 80 + 18p Reorder the terms: 80 + 18p + p2 = -80 + 80 + -18p + 18p Combine like terms: -80 + 80 = 0 80 + 18p + p2 = 0 + -18p + 18p 80 + 18p + p2 = -18p + 18p Combine like terms: -18p + 18p = 0 80 + 18p + p2 = 0 Factor a trinomial. (10 + p)(8 + p) = 0Subproblem 1
Set the factor '(10 + p)' equal to zero and attempt to solve: Simplifying 10 + p = 0 Solving 10 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + p = 0 + -10 p = 0 + -10 Combine like terms: 0 + -10 = -10 p = -10 Simplifying p = -10Subproblem 2
Set the factor '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8Solution
p = {-10, -8}
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