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Simplifying 7p2 + -14 = -33p + -4 Reorder the terms: -14 + 7p2 = -33p + -4 Reorder the terms: -14 + 7p2 = -4 + -33p Solving -14 + 7p2 = -4 + -33p Solving for variable 'p'. Reorder the terms: -14 + 4 + 33p + 7p2 = -4 + -33p + 4 + 33p Combine like terms: -14 + 4 = -10 -10 + 33p + 7p2 = -4 + -33p + 4 + 33p Reorder the terms: -10 + 33p + 7p2 = -4 + 4 + -33p + 33p Combine like terms: -4 + 4 = 0 -10 + 33p + 7p2 = 0 + -33p + 33p -10 + 33p + 7p2 = -33p + 33p Combine like terms: -33p + 33p = 0 -10 + 33p + 7p2 = 0 Factor a trinomial. (-5 + -1p)(2 + -7p) = 0Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve: Simplifying -5 + -1p = 0 Solving -5 + -1p = 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 + -1p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1p = 0 + 5 -1p = 0 + 5 Combine like terms: 0 + 5 = 5 -1p = 5 Divide each side by '-1'. p = -5 Simplifying p = -5Subproblem 2
Set the factor '(2 + -7p)' equal to zero and attempt to solve: Simplifying 2 + -7p = 0 Solving 2 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7p = 0 + -2 -7p = 0 + -2 Combine like terms: 0 + -2 = -2 -7p = -2 Divide each side by '-7'. p = 0.2857142857 Simplifying p = 0.2857142857Solution
p = {-5, 0.2857142857}
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