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Simplifying 6p2 + 20p = 0 Reorder the terms: 20p + 6p2 = 0 Solving 20p + 6p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(10 + 3p) = 0 Ignore the factor 2.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 '(10 + 3p)' equal to zero and attempt to solve: Simplifying 10 + 3p = 0 Solving 10 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3p = 0 + -10 3p = 0 + -10 Combine like terms: 0 + -10 = -10 3p = -10 Divide each side by '3'. p = -3.333333333 Simplifying p = -3.333333333Solution
p = {0, -3.333333333}
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