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Simplifying 90p3 = 15p2 Solving 90p3 = 15p2 Solving for variable 'p'. Reorder the terms: -15p2 + 90p3 = 15p2 + -15p2 Combine like terms: 15p2 + -15p2 = 0 -15p2 + 90p3 = 0 Factor out the Greatest Common Factor (GCF), '15p2'. 15p2(-1 + 6p) = 0 Ignore the factor 15.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 '(-1 + 6p)' equal to zero and attempt to solve: Simplifying -1 + 6p = 0 Solving -1 + 6p = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6p = 0 + 1 6p = 0 + 1 Combine like terms: 0 + 1 = 1 6p = 1 Divide each side by '6'. p = 0.1666666667 Simplifying p = 0.1666666667Solution
p = {0, 0.1666666667}
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