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Simplifying 9p2 + 18p + -2 = -7 Reorder the terms: -2 + 18p + 9p2 = -7 Solving -2 + 18p + 9p2 = -7 Solving for variable 'p'. Reorder the terms: -2 + 7 + 18p + 9p2 = -7 + 7 Combine like terms: -2 + 7 = 5 5 + 18p + 9p2 = -7 + 7 Combine like terms: -7 + 7 = 0 5 + 18p + 9p2 = 0 Factor a trinomial. (5 + 3p)(1 + 3p) = 0Subproblem 1
Set the factor '(5 + 3p)' equal to zero and attempt to solve: Simplifying 5 + 3p = 0 Solving 5 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = 0 + -5 3p = 0 + -5 Combine like terms: 0 + -5 = -5 3p = -5 Divide each side by '3'. p = -1.666666667 Simplifying p = -1.666666667Subproblem 2
Set the factor '(1 + 3p)' equal to zero and attempt to solve: Simplifying 1 + 3p = 0 Solving 1 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3p = 0 + -1 3p = 0 + -1 Combine like terms: 0 + -1 = -1 3p = -1 Divide each side by '3'. p = -0.3333333333 Simplifying p = -0.3333333333Solution
p = {-1.666666667, -0.3333333333}
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