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Simplifying 20p2 + -28p + 8 = 0 Reorder the terms: 8 + -28p + 20p2 = 0 Solving 8 + -28p + 20p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -7p + 5p2) = 0 Factor a trinomial. 4((2 + -5p)(1 + -1p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -5p)' equal to zero and attempt to solve: Simplifying 2 + -5p = 0 Solving 2 + -5p = 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 + -5p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5p = 0 + -2 -5p = 0 + -2 Combine like terms: 0 + -2 = -2 -5p = -2 Divide each side by '-5'. p = 0.4 Simplifying p = 0.4Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 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 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Solution
p = {0.4, 1}
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