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Simplifying 3p2 + 34p + 11 = 0 Reorder the terms: 11 + 34p + 3p2 = 0 Solving 11 + 34p + 3p2 = 0 Solving for variable 'p'. Factor a trinomial. (11 + p)(1 + 3p) = 0Subproblem 1
Set the factor '(11 + p)' equal to zero and attempt to solve: Simplifying 11 + p = 0 Solving 11 + p = 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 + p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + p = 0 + -11 p = 0 + -11 Combine like terms: 0 + -11 = -11 p = -11 Simplifying p = -11Subproblem 2
Set the factor '(1 + 3p)' equal to zero and attempt to solve: Simplifying 1 + 3p = 0 Solving 1 + 3p = 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 + 3p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3p = 0 + -1 3p = 0 + -1 Combine like terms: 0 + -1 = -1 3p = -1 Divide each side by '3'. p = -0.3333333333 Simplifying p = -0.3333333333Solution
p = {-11, -0.3333333333}
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