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Simplifying 5p2 = -28p + -15 Reorder the terms: 5p2 = -15 + -28p Solving 5p2 = -15 + -28p Solving for variable 'p'. Reorder the terms: 15 + 28p + 5p2 = -15 + -28p + 15 + 28p Reorder the terms: 15 + 28p + 5p2 = -15 + 15 + -28p + 28p Combine like terms: -15 + 15 = 0 15 + 28p + 5p2 = 0 + -28p + 28p 15 + 28p + 5p2 = -28p + 28p Combine like terms: -28p + 28p = 0 15 + 28p + 5p2 = 0 Factor a trinomial. (5 + p)(3 + 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 '(3 + 5p)' equal to zero and attempt to solve: Simplifying 3 + 5p = 0 Solving 3 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5p = 0 + -3 5p = 0 + -3 Combine like terms: 0 + -3 = -3 5p = -3 Divide each side by '5'. p = -0.6 Simplifying p = -0.6Solution
p = {-5, -0.6}
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