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Simplifying -4q + -6p + -12pq = 0 Reorder the terms: -6p + -12pq + -4q = 0 Solving -6p + -12pq + -4q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4q' to each side of the equation. -6p + -12pq + -4q + 4q = 0 + 4q Combine like terms: -4q + 4q = 0 -6p + -12pq + 0 = 0 + 4q -6p + -12pq = 0 + 4q Remove the zero: -6p + -12pq = 4q Combine like terms: 4q + -4q = 0 -6p + -12pq + -4q = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(3p + 6pq + 2q) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(3p + 6pq + 2q)' equal to zero and attempt to solve: Simplifying 3p + 6pq + 2q = 0 Solving 3p + 6pq + 2q = 0 Move all terms containing p to the left, all other terms to the right. Add '-2q' to each side of the equation. 3p + 6pq + 2q + -2q = 0 + -2q Combine like terms: 2q + -2q = 0 3p + 6pq + 0 = 0 + -2q 3p + 6pq = 0 + -2q Remove the zero: 3p + 6pq = -2q 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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