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Simplifying 7p2 = -32p + -16 Reorder the terms: 7p2 = -16 + -32p Solving 7p2 = -16 + -32p Solving for variable 'p'. Reorder the terms: 16 + 32p + 7p2 = -16 + -32p + 16 + 32p Reorder the terms: 16 + 32p + 7p2 = -16 + 16 + -32p + 32p Combine like terms: -16 + 16 = 0 16 + 32p + 7p2 = 0 + -32p + 32p 16 + 32p + 7p2 = -32p + 32p Combine like terms: -32p + 32p = 0 16 + 32p + 7p2 = 0 Factor a trinomial. (4 + p)(4 + 7p) = 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 + 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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