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Simplifying 25p3 + -81p2 = 0 Reorder the terms: -81p2 + 25p3 = 0 Solving -81p2 + 25p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p2'. p2(-81 + 25p) = 0Subproblem 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 '(-81 + 25p)' equal to zero and attempt to solve: Simplifying -81 + 25p = 0 Solving -81 + 25p = 0 Move all terms containing p to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 25p = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 25p = 0 + 81 25p = 0 + 81 Combine like terms: 0 + 81 = 81 25p = 81 Divide each side by '25'. p = 3.24 Simplifying p = 3.24Solution
p = {0, 3.24}
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