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Simplifying 25p3 + 40p2 = 0 Reorder the terms: 40p2 + 25p3 = 0 Solving 40p2 + 25p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5p2'. 5p2(8 + 5p) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}Subproblem 2
Set the factor '(8 + 5p)' equal to zero and attempt to solve: Simplifying 8 + 5p = 0 Solving 8 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5p = 0 + -8 5p = 0 + -8 Combine like terms: 0 + -8 = -8 5p = -8 Divide each side by '5'. p = -1.6 Simplifying p = -1.6Solution
p = {0, -1.6}
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