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Simplifying 6p(-2p + 5) = 0 Reorder the terms: 6p(5 + -2p) = 0 (5 * 6p + -2p * 6p) = 0 (30p + -12p2) = 0 Solving 30p + -12p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '6p'. 6p(5 + -2p) = 0 Ignore the factor 6.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 '(5 + -2p)' equal to zero and attempt to solve: Simplifying 5 + -2p = 0 Solving 5 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2p = 0 + -5 -2p = 0 + -5 Combine like terms: 0 + -5 = -5 -2p = -5 Divide each side by '-2'. p = 2.5 Simplifying p = 2.5Solution
p = {0, 2.5}
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