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Simplifying 2p2 + 46p = -84 Reorder the terms: 46p + 2p2 = -84 Solving 46p + 2p2 = -84 Solving for variable 'p'. Reorder the terms: 84 + 46p + 2p2 = -84 + 84 Combine like terms: -84 + 84 = 0 84 + 46p + 2p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(42 + 23p + p2) = 0 Factor a trinomial. 2((21 + p)(2 + p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(21 + p)' equal to zero and attempt to solve: Simplifying 21 + p = 0 Solving 21 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + p = 0 + -21 Combine like terms: 21 + -21 = 0 0 + p = 0 + -21 p = 0 + -21 Combine like terms: 0 + -21 = -21 p = -21 Simplifying p = -21Subproblem 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 = {-21, -2}
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