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Simplifying -7p2 + 24p + 16 = 0 Reorder the terms: 16 + 24p + -7p2 = 0 Solving 16 + 24p + -7p2 = 0 Solving for variable 'p'. Factor a trinomial. (4 + -1p)(4 + 7p) = 0Subproblem 1
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Subproblem 2
Set the factor '(4 + 7p)' equal to zero and attempt to solve: Simplifying 4 + 7p = 0 Solving 4 + 7p = 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 + 7p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7p = 0 + -4 7p = 0 + -4 Combine like terms: 0 + -4 = -4 7p = -4 Divide each side by '7'. p = -0.5714285714 Simplifying p = -0.5714285714Solution
p = {4, -0.5714285714}
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