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Simplifying 20p2 + -15p = 0 Reorder the terms: -15p + 20p2 = 0 Solving -15p + 20p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5p'. 5p(-3 + 4p) = 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 '(-3 + 4p)' equal to zero and attempt to solve: Simplifying -3 + 4p = 0 Solving -3 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4p = 0 + 3 4p = 0 + 3 Combine like terms: 0 + 3 = 3 4p = 3 Divide each side by '4'. p = 0.75 Simplifying p = 0.75Solution
p = {0, 0.75}
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