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Simplifying -4p(p + -2) = 5p Reorder the terms: -4p(-2 + p) = 5p (-2 * -4p + p * -4p) = 5p (8p + -4p2) = 5p Solving 8p + -4p2 = 5p Solving for variable 'p'. Reorder the terms: 8p + -5p + -4p2 = 5p + -5p Combine like terms: 8p + -5p = 3p 3p + -4p2 = 5p + -5p Combine like terms: 5p + -5p = 0 3p + -4p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(3 + -4p) = 0Subproblem 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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