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Simplifying (p + 3)(9p + 4) = 0 Reorder the terms: (3 + p)(9p + 4) = 0 Reorder the terms: (3 + p)(4 + 9p) = 0 Multiply (3 + p) * (4 + 9p) (3(4 + 9p) + p(4 + 9p)) = 0 ((4 * 3 + 9p * 3) + p(4 + 9p)) = 0 ((12 + 27p) + p(4 + 9p)) = 0 (12 + 27p + (4 * p + 9p * p)) = 0 (12 + 27p + (4p + 9p2)) = 0 Combine like terms: 27p + 4p = 31p (12 + 31p + 9p2) = 0 Solving 12 + 31p + 9p2 = 0 Solving for variable 'p'. Factor a trinomial. (3 + p)(4 + 9p) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(4 + 9p)' equal to zero and attempt to solve: Simplifying 4 + 9p = 0 Solving 4 + 9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9p = 0 + -4 9p = 0 + -4 Combine like terms: 0 + -4 = -4 9p = -4 Divide each side by '9'. p = -0.4444444444 Simplifying p = -0.4444444444Solution
p = {-3, -0.4444444444}
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