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Simplifying 4p2 + -104p + 672 = 0 Reorder the terms: 672 + -104p + 4p2 = 0 Solving 672 + -104p + 4p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(168 + -26p + p2) = 0 Factor a trinomial. 4((12 + -1p)(14 + -1p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(12 + -1p)' equal to zero and attempt to solve: Simplifying 12 + -1p = 0 Solving 12 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1p = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1p = 0 + -12 -1p = 0 + -12 Combine like terms: 0 + -12 = -12 -1p = -12 Divide each side by '-1'. p = 12 Simplifying p = 12Subproblem 2
Set the factor '(14 + -1p)' equal to zero and attempt to solve: Simplifying 14 + -1p = 0 Solving 14 + -1p = 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 + -1p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1p = 0 + -14 -1p = 0 + -14 Combine like terms: 0 + -14 = -14 -1p = -14 Divide each side by '-1'. p = 14 Simplifying p = 14Solution
p = {12, 14}
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