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Simplifying 5p2 = -29p + -20 Reorder the terms: 5p2 = -20 + -29p Solving 5p2 = -20 + -29p Solving for variable 'p'. Reorder the terms: 20 + 29p + 5p2 = -20 + -29p + 20 + 29p Reorder the terms: 20 + 29p + 5p2 = -20 + 20 + -29p + 29p Combine like terms: -20 + 20 = 0 20 + 29p + 5p2 = 0 + -29p + 29p 20 + 29p + 5p2 = -29p + 29p Combine like terms: -29p + 29p = 0 20 + 29p + 5p2 = 0 Factor a trinomial. (5 + p)(4 + 5p) = 0Subproblem 1
Set the factor '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 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 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5Subproblem 2
Set the factor '(4 + 5p)' equal to zero and attempt to solve: Simplifying 4 + 5p = 0 Solving 4 + 5p = 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 + 5p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5p = 0 + -4 5p = 0 + -4 Combine like terms: 0 + -4 = -4 5p = -4 Divide each side by '5'. p = -0.8 Simplifying p = -0.8Solution
p = {-5, -0.8}
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