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Simplifying p2 + 8p2 = 18p Combine like terms: p2 + 8p2 = 9p2 9p2 = 18p Solving 9p2 = 18p Solving for variable 'p'. Reorder the terms: -18p + 9p2 = 18p + -18p Combine like terms: 18p + -18p = 0 -18p + 9p2 = 0 Factor out the Greatest Common Factor (GCF), '9p'. 9p(-2 + p) = 0 Ignore the factor 9.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 + p)' equal to zero and attempt to solve: Simplifying -2 + p = 0 Solving -2 + p = 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 + p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + p = 0 + 2 p = 0 + 2 Combine like terms: 0 + 2 = 2 p = 2 Simplifying p = 2Solution
p = {0, 2}
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