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Simplifying 15p2 + 55p + 40 = 0 Reorder the terms: 40 + 55p + 15p2 = 0 Solving 40 + 55p + 15p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5'. 5(8 + 11p + 3p2) = 0 Factor a trinomial. 5((8 + 3p)(1 + p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + 3p)' equal to zero and attempt to solve: Simplifying 8 + 3p = 0 Solving 8 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3p = 0 + -8 3p = 0 + -8 Combine like terms: 0 + -8 = -8 3p = -8 Divide each side by '3'. p = -2.666666667 Simplifying p = -2.666666667Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Solution
p = {-2.666666667, -1}
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