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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. (-4 + p)(5 + -3p) = 0Subproblem 1
Set the factor '(-4 + p)' equal to zero and attempt to solve: Simplifying -4 + p = 0 Solving -4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + p = 0 + 4 p = 0 + 4 Combine like terms: 0 + 4 = 4 p = 4 Simplifying p = 4Subproblem 2
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 = 1.666666667Solution
p = {4, 1.666666667}
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