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Simplifying 2p2 + 28p = -26 Reorder the terms: 28p + 2p2 = -26 Solving 28p + 2p2 = -26 Solving for variable 'p'. Reorder the terms: 26 + 28p + 2p2 = -26 + 26 Combine like terms: -26 + 26 = 0 26 + 28p + 2p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(13 + 14p + p2) = 0 Factor a trinomial. 2((13 + p)(1 + p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(13 + p)' equal to zero and attempt to solve: Simplifying 13 + p = 0 Solving 13 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + p = 0 + -13 p = 0 + -13 Combine like terms: 0 + -13 = -13 p = -13 Simplifying p = -13Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Solution
p = {-13, -1}
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