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Simplifying 24p2 = 16p Solving 24p2 = 16p Solving for variable 'p'. Reorder the terms: -16p + 24p2 = 16p + -16p Combine like terms: 16p + -16p = 0 -16p + 24p2 = 0 Factor out the Greatest Common Factor (GCF), '8p'. 8p(-2 + 3p) = 0 Ignore the factor 8.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 '(-2 + 3p)' equal to zero and attempt to solve: Simplifying -2 + 3p = 0 Solving -2 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3p = 0 + 2 3p = 0 + 2 Combine like terms: 0 + 2 = 2 3p = 2 Divide each side by '3'. p = 0.6666666667 Simplifying p = 0.6666666667Solution
p = {0, 0.6666666667}
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