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Simplifying (p + 41)(p + -2) = 0 Reorder the terms: (41 + p)(p + -2) = 0 Reorder the terms: (41 + p)(-2 + p) = 0 Multiply (41 + p) * (-2 + p) (41(-2 + p) + p(-2 + p)) = 0 ((-2 * 41 + p * 41) + p(-2 + p)) = 0 ((-82 + 41p) + p(-2 + p)) = 0 (-82 + 41p + (-2 * p + p * p)) = 0 (-82 + 41p + (-2p + p2)) = 0 Combine like terms: 41p + -2p = 39p (-82 + 39p + p2) = 0 Solving -82 + 39p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (-41 + -1p)(2 + -1p) = 0Subproblem 1
Set the factor '(-41 + -1p)' equal to zero and attempt to solve: Simplifying -41 + -1p = 0 Solving -41 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -1p = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -1p = 0 + 41 -1p = 0 + 41 Combine like terms: 0 + 41 = 41 -1p = 41 Divide each side by '-1'. p = -41 Simplifying p = -41Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 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 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {-41, 2}
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