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Simplifying 3p2 + 17p + -30 = -10 Reorder the terms: -30 + 17p + 3p2 = -10 Solving -30 + 17p + 3p2 = -10 Solving for variable 'p'. Reorder the terms: -30 + 10 + 17p + 3p2 = -10 + 10 Combine like terms: -30 + 10 = -20 -20 + 17p + 3p2 = -10 + 10 Combine like terms: -10 + 10 = 0 -20 + 17p + 3p2 = 0 Factor a trinomial. (-20 + -3p)(1 + -1p) = 0Subproblem 1
Set the factor '(-20 + -3p)' equal to zero and attempt to solve: Simplifying -20 + -3p = 0 Solving -20 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3p = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3p = 0 + 20 -3p = 0 + 20 Combine like terms: 0 + 20 = 20 -3p = 20 Divide each side by '-3'. p = -6.666666667 Simplifying p = -6.666666667Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 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 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Solution
p = {-6.666666667, 1}
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