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Simplifying 4p2 + 40 = 26p Reorder the terms: 40 + 4p2 = 26p Solving 40 + 4p2 = 26p Solving for variable 'p'. Reorder the terms: 40 + -26p + 4p2 = 26p + -26p Combine like terms: 26p + -26p = 0 40 + -26p + 4p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(20 + -13p + 2p2) = 0 Factor a trinomial. 2((5 + -2p)(4 + -1p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -2p)' equal to zero and attempt to solve: Simplifying 5 + -2p = 0 Solving 5 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2p = 0 + -5 -2p = 0 + -5 Combine like terms: 0 + -5 = -5 -2p = -5 Divide each side by '-2'. p = 2.5 Simplifying p = 2.5Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {2.5, 4}
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