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Simplifying 4p + -520 + 20p2 = 0 Reorder the terms: -520 + 4p + 20p2 = 0 Solving -520 + 4p + 20p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(-130 + p + 5p2) = 0 Factor a trinomial. 4((-26 + -5p)(5 + -1p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-26 + -5p)' equal to zero and attempt to solve: Simplifying -26 + -5p = 0 Solving -26 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -5p = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -5p = 0 + 26 -5p = 0 + 26 Combine like terms: 0 + 26 = 26 -5p = 26 Divide each side by '-5'. p = -5.2 Simplifying p = -5.2Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 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 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Solution
p = {-5.2, 5}
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