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Simplifying 3p2 + -17p = 20 Reorder the terms: -17p + 3p2 = 20 Solving -17p + 3p2 = 20 Solving for variable 'p'. Reorder the terms: -20 + -17p + 3p2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -17p + 3p2 = 0 Factor a trinomial. (-1 + -1p)(20 + -3p) = 0Subproblem 1
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 = -1Subproblem 2
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 = 6.666666667Solution
p = {-1, 6.666666667}
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