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Simplifying 3p + 3q + -4pq + -2pq = 0 Reorder the terms: 3p + -4pq + -2pq + 3q = 0 Combine like terms: -4pq + -2pq = -6pq 3p + -6pq + 3q = 0 Solving 3p + -6pq + 3q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. 3p + -6pq + 3q + -3q = 0 + -3q Combine like terms: 3q + -3q = 0 3p + -6pq + 0 = 0 + -3q 3p + -6pq = 0 + -3q Remove the zero: 3p + -6pq = -3q Combine like terms: -3q + 3q = 0 3p + -6pq + 3q = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(p + -2pq + q) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(p + -2pq + q)' equal to zero and attempt to solve: Simplifying p + -2pq + q = 0 Solving p + -2pq + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. p + -2pq + q + -1q = 0 + -1q Combine like terms: q + -1q = 0 p + -2pq + 0 = 0 + -1q p + -2pq = 0 + -1q Remove the zero: p + -2pq = -1q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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