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Simplifying 1573p2 + 2574p + 1053 = 0 Reorder the terms: 1053 + 2574p + 1573p2 = 0 Solving 1053 + 2574p + 1573p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '13'. 13(81 + 198p + 121p2) = 0 Factor a trinomial. 13((9 + 11p)(9 + 11p)) = 0 Ignore the factor 13.Subproblem 1
Set the factor '(9 + 11p)' equal to zero and attempt to solve: Simplifying 9 + 11p = 0 Solving 9 + 11p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 11p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11p = 0 + -9 11p = 0 + -9 Combine like terms: 0 + -9 = -9 11p = -9 Divide each side by '11'. p = -0.8181818182 Simplifying p = -0.8181818182Subproblem 2
Set the factor '(9 + 11p)' equal to zero and attempt to solve: Simplifying 9 + 11p = 0 Solving 9 + 11p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 11p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11p = 0 + -9 11p = 0 + -9 Combine like terms: 0 + -9 = -9 11p = -9 Divide each side by '11'. p = -0.8181818182 Simplifying p = -0.8181818182Solution
p = {-0.8181818182, -0.8181818182}
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