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Simplifying 16p2 + -7p2 = 9p + 11p Combine like terms: 16p2 + -7p2 = 9p2 9p2 = 9p + 11p Combine like terms: 9p + 11p = 20p 9p2 = 20p Solving 9p2 = 20p Solving for variable 'p'. Reorder the terms: -20p + 9p2 = 20p + -20p Combine like terms: 20p + -20p = 0 -20p + 9p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(-20 + 9p) = 0Subproblem 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 '(-20 + 9p)' equal to zero and attempt to solve: Simplifying -20 + 9p = 0 Solving -20 + 9p = 0 Move all terms containing p to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 9p = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 9p = 0 + 20 9p = 0 + 20 Combine like terms: 0 + 20 = 20 9p = 20 Divide each side by '9'. p = 2.222222222 Simplifying p = 2.222222222Solution
p = {0, 2.222222222}
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