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Simplifying 0 = 2p(3p + 5) Reorder the terms: 0 = 2p(5 + 3p) 0 = (5 * 2p + 3p * 2p) 0 = (10p + 6p2) Solving 0 = 10p + 6p2 Solving for variable 'p'. Remove the zero: -10p + -6p2 = 10p + 6p2 + -10p + -6p2 Reorder the terms: -10p + -6p2 = 10p + -10p + 6p2 + -6p2 Combine like terms: 10p + -10p = 0 -10p + -6p2 = 0 + 6p2 + -6p2 -10p + -6p2 = 6p2 + -6p2 Combine like terms: 6p2 + -6p2 = 0 -10p + -6p2 = 0 Factor out the Greatest Common Factor (GCF), '-2p'. -2p(5 + 3p) = 0 Ignore the factor -2.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 '(5 + 3p)' equal to zero and attempt to solve: Simplifying 5 + 3p = 0 Solving 5 + 3p = 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 + 3p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = 0 + -5 3p = 0 + -5 Combine like terms: 0 + -5 = -5 3p = -5 Divide each side by '3'. p = -1.666666667 Simplifying p = -1.666666667Solution
p = {0, -1.666666667}
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