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Simplifying p(3p + 5) = 0 Reorder the terms: p(5 + 3p) = 0 (5 * p + 3p * p) = 0 (5p + 3p2) = 0 Solving 5p + 3p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(5 + 3p) = 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 '(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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