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Simplifying 7p2 + 18p + -9 = 0 Reorder the terms: -9 + 18p + 7p2 = 0 Solving -9 + 18p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (-3 + -1p)(3 + -7p) = 0Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve: Simplifying -3 + -1p = 0 Solving -3 + -1p = 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 + -1p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = 0 + 3 -1p = 0 + 3 Combine like terms: 0 + 3 = 3 -1p = 3 Divide each side by '-1'. 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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