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Simplifying (3p + 11)(p + 1) = 0 Reorder the terms: (11 + 3p)(p + 1) = 0 Reorder the terms: (11 + 3p)(1 + p) = 0 Multiply (11 + 3p) * (1 + p) (11(1 + p) + 3p * (1 + p)) = 0 ((1 * 11 + p * 11) + 3p * (1 + p)) = 0 ((11 + 11p) + 3p * (1 + p)) = 0 (11 + 11p + (1 * 3p + p * 3p)) = 0 (11 + 11p + (3p + 3p2)) = 0 Combine like terms: 11p + 3p = 14p (11 + 14p + 3p2) = 0 Solving 11 + 14p + 3p2 = 0 Solving for variable 'p'. Factor a trinomial. (11 + 3p)(1 + p) = 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 '(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 = {-3.666666667, -1}
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