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Simplifying 25p2 + 60p + 20 = 0 Reorder the terms: 20 + 60p + 25p2 = 0 Solving 20 + 60p + 25p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5'. 5(4 + 12p + 5p2) = 0 Factor a trinomial. 5((2 + p)(2 + 5p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 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 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Subproblem 2
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 = -0.4Solution
p = {-2, -0.4}
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