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Simplifying 6p = -2pq Solving 6p = -2pq Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2pq' to each side of the equation. 6p + 2pq = -2pq + 2pq Combine like terms: -2pq + 2pq = 0 6p + 2pq = 0 Factor out the Greatest Common Factor (GCF), '2p'. 2p(3 + q) = 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 '(3 + q)' equal to zero and attempt to solve: Simplifying 3 + q = 0 Solving 3 + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + q = 0 + -3 q = 0 + -3 Combine like terms: 0 + -3 = -3 q = -3 Add '-1q' to each side of the equation. q + -1q = -3 + -1q Combine like terms: q + -1q = 0 0 = -3 + -1q Simplifying 0 = -3 + -1q 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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