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Simplifying 30p + 5p * p + -8p + -4p = 0 Multiply p * p 30p + 5p2 + -8p + -4p = 0 Reorder the terms: 30p + -8p + -4p + 5p2 = 0 Combine like terms: 30p + -8p = 22p 22p + -4p + 5p2 = 0 Combine like terms: 22p + -4p = 18p 18p + 5p2 = 0 Solving 18p + 5p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(18 + 5p) = 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 '(18 + 5p)' equal to zero and attempt to solve: Simplifying 18 + 5p = 0 Solving 18 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 5p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 5p = 0 + -18 5p = 0 + -18 Combine like terms: 0 + -18 = -18 5p = -18 Divide each side by '5'. p = -3.6 Simplifying p = -3.6Solution
p = {0, -3.6}
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