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Simplifying 3p(p + -2) + -2p(3p + -2) = 0 Reorder the terms: 3p(-2 + p) + -2p(3p + -2) = 0 (-2 * 3p + p * 3p) + -2p(3p + -2) = 0 (-6p + 3p2) + -2p(3p + -2) = 0 Reorder the terms: -6p + 3p2 + -2p(-2 + 3p) = 0 -6p + 3p2 + (-2 * -2p + 3p * -2p) = 0 -6p + 3p2 + (4p + -6p2) = 0 Reorder the terms: -6p + 4p + 3p2 + -6p2 = 0 Combine like terms: -6p + 4p = -2p -2p + 3p2 + -6p2 = 0 Combine like terms: 3p2 + -6p2 = -3p2 -2p + -3p2 = 0 Solving -2p + -3p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-1p'. -1p(2 + 3p) = 0 Ignore the factor -1.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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