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Simplifying 20p2 = 24p Solving 20p2 = 24p Solving for variable 'p'. Reorder the terms: -24p + 20p2 = 24p + -24p Combine like terms: 24p + -24p = 0 -24p + 20p2 = 0 Factor out the Greatest Common Factor (GCF), '4p'. 4p(-6 + 5p) = 0 Ignore the factor 4.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 '(-6 + 5p)' equal to zero and attempt to solve: Simplifying -6 + 5p = 0 Solving -6 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5p = 0 + 6 5p = 0 + 6 Combine like terms: 0 + 6 = 6 5p = 6 Divide each side by '5'. p = 1.2 Simplifying p = 1.2Solution
p = {0, 1.2}
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