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Simplifying -45p2 + -25p + 20 = 0 Reorder the terms: 20 + -25p + -45p2 = 0 Solving 20 + -25p + -45p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5'. 5(4 + -5p + -9p2) = 0 Factor a trinomial. 5((4 + -9p)(1 + p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + -9p)' equal to zero and attempt to solve: Simplifying 4 + -9p = 0 Solving 4 + -9p = 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 + -9p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9p = 0 + -4 -9p = 0 + -4 Combine like terms: 0 + -4 = -4 -9p = -4 Divide each side by '-9'. p = 0.4444444444 Simplifying p = 0.4444444444Subproblem 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 = {0.4444444444, -1}
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