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Simplifying 3p2 + -7p + -66 = 0 Reorder the terms: -66 + -7p + 3p2 = 0 Solving -66 + -7p + 3p2 = 0 Solving for variable 'p'. Factor a trinomial. (-11 + -3p)(6 + -1p) = 0Subproblem 1
Set the factor '(-11 + -3p)' equal to zero and attempt to solve: Simplifying -11 + -3p = 0 Solving -11 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3p = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3p = 0 + 11 -3p = 0 + 11 Combine like terms: 0 + 11 = 11 -3p = 11 Divide each side by '-3'. p = -3.666666667 Simplifying p = -3.666666667Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve: Simplifying 6 + -1p = 0 Solving 6 + -1p = 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 + -1p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1p = 0 + -6 -1p = 0 + -6 Combine like terms: 0 + -6 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6Solution
p = {-3.666666667, 6}
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