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Simplifying 9p2 = 12p Solving 9p2 = 12p Solving for variable 'p'. Reorder the terms: -12p + 9p2 = 12p + -12p Combine like terms: 12p + -12p = 0 -12p + 9p2 = 0 Factor out the Greatest Common Factor (GCF), '3p'. 3p(-4 + 3p) = 0 Ignore the factor 3.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 '(-4 + 3p)' equal to zero and attempt to solve: Simplifying -4 + 3p = 0 Solving -4 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3p = 0 + 4 3p = 0 + 4 Combine like terms: 0 + 4 = 4 3p = 4 Divide each side by '3'. p = 1.333333333 Simplifying p = 1.333333333Solution
p = {0, 1.333333333}
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