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Simplifying 10p(p + 5) = 0 Reorder the terms: 10p(5 + p) = 0 (5 * 10p + p * 10p) = 0 (50p + 10p2) = 0 Solving 50p + 10p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '10p'. 10p(5 + p) = 0 Ignore the factor 10.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 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 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 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5Solution
p = {0, -5}
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