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Simplifying 0 = -15p2 + -20p Reorder the terms: 0 = -20p + -15p2 Solving 0 = -20p + -15p2 Solving for variable 'p'. Remove the zero: 20p + 15p2 = -20p + -15p2 + 20p + 15p2 Reorder the terms: 20p + 15p2 = -20p + 20p + -15p2 + 15p2 Combine like terms: -20p + 20p = 0 20p + 15p2 = 0 + -15p2 + 15p2 20p + 15p2 = -15p2 + 15p2 Combine like terms: -15p2 + 15p2 = 0 20p + 15p2 = 0 Factor out the Greatest Common Factor (GCF), '5p'. 5p(4 + 3p) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(4 + 3p)' equal to zero and attempt to solve: Simplifying 4 + 3p = 0 Solving 4 + 3p = 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 + 3p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = 0 + -4 3p = 0 + -4 Combine like terms: 0 + -4 = -4 3p = -4 Divide each side by '3'. p = -1.333333333 Simplifying p = -1.333333333Solution
p = {0, -1.333333333}
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