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Simplifying 3p + 6pq = 0 Solving 3p + 6pq = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3p'. 3p(1 + 2q) = 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 '(1 + 2q)' equal to zero and attempt to solve: Simplifying 1 + 2q = 0 Solving 1 + 2q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2q = 0 + -1 2q = 0 + -1 Combine like terms: 0 + -1 = -1 2q = -1 Add '-2q' to each side of the equation. 2q + -2q = -1 + -2q Combine like terms: 2q + -2q = 0 0 = -1 + -2q Simplifying 0 = -1 + -2q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
p = {0}
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