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Simplifying 0 = 8p + -36p2 Solving 0 = 8p + -36p2 Solving for variable 'p'. Remove the zero: -8p + 36p2 = 8p + -36p2 + -8p + 36p2 Reorder the terms: -8p + 36p2 = 8p + -8p + -36p2 + 36p2 Combine like terms: 8p + -8p = 0 -8p + 36p2 = 0 + -36p2 + 36p2 -8p + 36p2 = -36p2 + 36p2 Combine like terms: -36p2 + 36p2 = 0 -8p + 36p2 = 0 Factor out the Greatest Common Factor (GCF), '4p'. 4p(-2 + 9p) = 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 '(-2 + 9p)' equal to zero and attempt to solve: Simplifying -2 + 9p = 0 Solving -2 + 9p = 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 + 9p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9p = 0 + 2 9p = 0 + 2 Combine like terms: 0 + 2 = 2 9p = 2 Divide each side by '9'. p = 0.2222222222 Simplifying p = 0.2222222222Solution
p = {0, 0.2222222222}
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