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