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Simplifying 60p2 + 208p + 128 = 0 Reorder the terms: 128 + 208p + 60p2 = 0 Solving 128 + 208p + 60p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(32 + 52p + 15p2) = 0 Factor a trinomial. 4((8 + 3p)(4 + 5p)) = 0 Ignore the factor 4.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 '(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 = {-2.666666667, -0.8}
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