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Simplifying 11p2 + 24p + 4 = 0 Reorder the terms: 4 + 24p + 11p2 = 0 Solving 4 + 24p + 11p2 = 0 Solving for variable 'p'. Factor a trinomial. (2 + p)(2 + 11p) = 0Subproblem 1
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Subproblem 2
Set the factor '(2 + 11p)' equal to zero and attempt to solve: Simplifying 2 + 11p = 0 Solving 2 + 11p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 11p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11p = 0 + -2 11p = 0 + -2 Combine like terms: 0 + -2 = -2 11p = -2 Divide each side by '11'. p = -0.1818181818 Simplifying p = -0.1818181818Solution
p = {-2, -0.1818181818}
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