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Simplifying 7p2 + 16p + 9 = 0 Reorder the terms: 9 + 16p + 7p2 = 0 Solving 9 + 16p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (9 + 7p)(1 + p) = 0Subproblem 1
Set the factor '(9 + 7p)' equal to zero and attempt to solve: Simplifying 9 + 7p = 0 Solving 9 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7p = 0 + -9 7p = 0 + -9 Combine like terms: 0 + -9 = -9 7p = -9 Divide each side by '7'. p = -1.285714286 Simplifying p = -1.285714286Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Solution
p = {-1.285714286, -1}
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