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Simplifying 5p2 + 24p + 16 = 0 Reorder the terms: 16 + 24p + 5p2 = 0 Solving 16 + 24p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (4 + p)(4 + 5p) = 0Subproblem 1
Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 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 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Subproblem 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 = {-4, -0.8}
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