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Simplifying -2p(3p + -2) = 0 Reorder the terms: -2p(-2 + 3p) = 0 (-2 * -2p + 3p * -2p) = 0 (4p + -6p2) = 0 Solving 4p + -6p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(2 + -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 '(2 + -3p)' equal to zero and attempt to solve: Simplifying 2 + -3p = 0 Solving 2 + -3p = 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 + -3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 0 + -2 -3p = 0 + -2 Combine like terms: 0 + -2 = -2 -3p = -2 Divide each side by '-3'. p = 0.6666666667 Simplifying p = 0.6666666667Solution
p = {0, 0.6666666667}
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