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Simplifying -1p2 + -22p + -40 = 0 Reorder the terms: -40 + -22p + -1p2 = 0 Solving -40 + -22p + -1p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-1'. -1(40 + 22p + p2) = 0 Factor a trinomial. -1((20 + p)(2 + p)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(20 + p)' equal to zero and attempt to solve: Simplifying 20 + p = 0 Solving 20 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + p = 0 + -20 Combine like terms: 20 + -20 = 0 0 + p = 0 + -20 p = 0 + -20 Combine like terms: 0 + -20 = -20 p = -20 Simplifying p = -20Subproblem 2
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 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 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Solution
p = {-20, -2}
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