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Simplifying (p + 4)(5p + 2) = 0 Reorder the terms: (4 + p)(5p + 2) = 0 Reorder the terms: (4 + p)(2 + 5p) = 0 Multiply (4 + p) * (2 + 5p) (4(2 + 5p) + p(2 + 5p)) = 0 ((2 * 4 + 5p * 4) + p(2 + 5p)) = 0 ((8 + 20p) + p(2 + 5p)) = 0 (8 + 20p + (2 * p + 5p * p)) = 0 (8 + 20p + (2p + 5p2)) = 0 Combine like terms: 20p + 2p = 22p (8 + 22p + 5p2) = 0 Solving 8 + 22p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (4 + p)(2 + 5p) = 0Subproblem 1
Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 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 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Subproblem 2
Set the factor '(2 + 5p)' equal to zero and attempt to solve: Simplifying 2 + 5p = 0 Solving 2 + 5p = 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 + 5p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5p = 0 + -2 5p = 0 + -2 Combine like terms: 0 + -2 = -2 5p = -2 Divide each side by '5'. p = -0.4 Simplifying p = -0.4Solution
p = {-4, -0.4}
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