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Simplifying 7p2 + -15p + -18 = 0 Reorder the terms: -18 + -15p + 7p2 = 0 Solving -18 + -15p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (-6 + -7p)(3 + -1p) = 0Subproblem 1
Set the factor '(-6 + -7p)' equal to zero and attempt to solve: Simplifying -6 + -7p = 0 Solving -6 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7p = 0 + 6 -7p = 0 + 6 Combine like terms: 0 + 6 = 6 -7p = 6 Divide each side by '-7'. p = -0.8571428571 Simplifying p = -0.8571428571Subproblem 2
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 = 3Solution
p = {-0.8571428571, 3}
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