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Simplifying 4p2 + 68p + 168 = 0 Reorder the terms: 168 + 68p + 4p2 = 0 Solving 168 + 68p + 4p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(42 + 17p + p2) = 0 Factor a trinomial. 4((14 + p)(3 + p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(14 + p)' equal to zero and attempt to solve: Simplifying 14 + p = 0 Solving 14 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + p = 0 + -14 p = 0 + -14 Combine like terms: 0 + -14 = -14 p = -14 Simplifying p = -14Subproblem 2
Set the factor '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Solution
p = {-14, -3}
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