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