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Simplifying 2p(3p + -5) = 0 Reorder the terms: 2p(-5 + 3p) = 0 (-5 * 2p + 3p * 2p) = 0 (-10p + 6p2) = 0 Solving -10p + 6p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(-5 + 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 '(-5 + 3p)' equal to zero and attempt to solve: Simplifying -5 + 3p = 0 Solving -5 + 3p = 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 + 3p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3p = 0 + 5 3p = 0 + 5 Combine like terms: 0 + 5 = 5 3p = 5 Divide each side by '3'. p = 1.666666667 Simplifying p = 1.666666667Solution
p = {0, 1.666666667}
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