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Simplifying 3p2 + 36p + 81 = 0 Reorder the terms: 81 + 36p + 3p2 = 0 Solving 81 + 36p + 3p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3'. 3(27 + 12p + p2) = 0 Factor a trinomial. 3((9 + p)(3 + p)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(9 + p)' equal to zero and attempt to solve: Simplifying 9 + p = 0 Solving 9 + p = 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 + p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + p = 0 + -9 p = 0 + -9 Combine like terms: 0 + -9 = -9 p = -9 Simplifying p = -9Subproblem 2
Set the factor '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Solution
p = {-9, -3}
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