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Simplifying 5000p + -30p3 = 0 Solving 5000p + -30p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '10p'. 10p(500 + -3p2) = 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 '(500 + -3p2)' equal to zero and attempt to solve: Simplifying 500 + -3p2 = 0 Solving 500 + -3p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + -3p2 = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -3p2 = 0 + -500 -3p2 = 0 + -500 Combine like terms: 0 + -500 = -500 -3p2 = -500 Divide each side by '-3'. p2 = 166.6666667 Simplifying p2 = 166.6666667 Take the square root of each side: p = {-12.909944489, 12.909944489}Solution
p = {0, -12.909944489, 12.909944489}
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