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Simplifying 7p2 = 33p + -20 Reorder the terms: 7p2 = -20 + 33p Solving 7p2 = -20 + 33p Solving for variable 'p'. Reorder the terms: 20 + -33p + 7p2 = -20 + 33p + 20 + -33p Reorder the terms: 20 + -33p + 7p2 = -20 + 20 + 33p + -33p Combine like terms: -20 + 20 = 0 20 + -33p + 7p2 = 0 + 33p + -33p 20 + -33p + 7p2 = 33p + -33p Combine like terms: 33p + -33p = 0 20 + -33p + 7p2 = 0 Factor a trinomial. (5 + -7p)(4 + -1p) = 0Subproblem 1
Set the factor '(5 + -7p)' equal to zero and attempt to solve: Simplifying 5 + -7p = 0 Solving 5 + -7p = 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 + -7p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7p = 0 + -5 -7p = 0 + -5 Combine like terms: 0 + -5 = -5 -7p = -5 Divide each side by '-7'. p = 0.7142857143 Simplifying p = 0.7142857143Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {0.7142857143, 4}
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