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Simplifying 7p2 = -24p + -9 Reorder the terms: 7p2 = -9 + -24p Solving 7p2 = -9 + -24p Solving for variable 'p'. Reorder the terms: 9 + 24p + 7p2 = -9 + -24p + 9 + 24p Reorder the terms: 9 + 24p + 7p2 = -9 + 9 + -24p + 24p Combine like terms: -9 + 9 = 0 9 + 24p + 7p2 = 0 + -24p + 24p 9 + 24p + 7p2 = -24p + 24p Combine like terms: -24p + 24p = 0 9 + 24p + 7p2 = 0 Factor a trinomial. (3 + p)(3 + 7p) = 0Subproblem 1
Set the factor '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Subproblem 2
Set the factor '(3 + 7p)' equal to zero and attempt to solve: Simplifying 3 + 7p = 0 Solving 3 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7p = 0 + -3 7p = 0 + -3 Combine like terms: 0 + -3 = -3 7p = -3 Divide each side by '7'. p = -0.4285714286 Simplifying p = -0.4285714286Solution
p = {-3, -0.4285714286}
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