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Simplifying 2p2 + 6pq2 = 0 Reorder the terms: 6pq2 + 2p2 = 0 Solving 6pq2 + 2p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(3q2 + p) = 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 '(3q2 + p)' equal to zero and attempt to solve: Simplifying 3q2 + p = 0 Reorder the terms: p + 3q2 = 0 Solving p + 3q2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-3q2' to each side of the equation. p + 3q2 + -3q2 = 0 + -3q2 Combine like terms: 3q2 + -3q2 = 0 p + 0 = 0 + -3q2 p = 0 + -3q2 Remove the zero: p = -3q2 Simplifying p = -3q2Solution
p = {0, -3q2}
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