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Simplifying -8p2 + 6p + -18 = -9p2 + 3p + 70 Reorder the terms: -18 + 6p + -8p2 = -9p2 + 3p + 70 Reorder the terms: -18 + 6p + -8p2 = 70 + 3p + -9p2 Solving -18 + 6p + -8p2 = 70 + 3p + -9p2 Solving for variable 'p'. Reorder the terms: -18 + -70 + 6p + -3p + -8p2 + 9p2 = 70 + 3p + -9p2 + -70 + -3p + 9p2 Combine like terms: -18 + -70 = -88 -88 + 6p + -3p + -8p2 + 9p2 = 70 + 3p + -9p2 + -70 + -3p + 9p2 Combine like terms: 6p + -3p = 3p -88 + 3p + -8p2 + 9p2 = 70 + 3p + -9p2 + -70 + -3p + 9p2 Combine like terms: -8p2 + 9p2 = 1p2 -88 + 3p + 1p2 = 70 + 3p + -9p2 + -70 + -3p + 9p2 Reorder the terms: -88 + 3p + 1p2 = 70 + -70 + 3p + -3p + -9p2 + 9p2 Combine like terms: 70 + -70 = 0 -88 + 3p + 1p2 = 0 + 3p + -3p + -9p2 + 9p2 -88 + 3p + 1p2 = 3p + -3p + -9p2 + 9p2 Combine like terms: 3p + -3p = 0 -88 + 3p + 1p2 = 0 + -9p2 + 9p2 -88 + 3p + 1p2 = -9p2 + 9p2 Combine like terms: -9p2 + 9p2 = 0 -88 + 3p + 1p2 = 0 Factor a trinomial. (-11 + -1p)(8 + -1p) = 0Subproblem 1
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 = -11Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 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 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8Solution
p = {-11, 8}
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