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Simplifying 0 = 36p2q2 + -12pq Reorder the terms: 0 = -12pq + 36p2q2 Solving 0 = -12pq + 36p2q2 Solving for variable 'p'. Remove the zero: 12pq + -36p2q2 = -12pq + 36p2q2 + 12pq + -36p2q2 Reorder the terms: 12pq + -36p2q2 = -12pq + 12pq + 36p2q2 + -36p2q2 Combine like terms: -12pq + 12pq = 0 12pq + -36p2q2 = 0 + 36p2q2 + -36p2q2 12pq + -36p2q2 = 36p2q2 + -36p2q2 Combine like terms: 36p2q2 + -36p2q2 = 0 12pq + -36p2q2 = 0 Factor out the Greatest Common Factor (GCF), '12pq'. 12pq(1 + -3pq) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'pq' equal to zero and attempt to solve: Simplifying pq = 0 Solving pq = 0 Move all terms containing p to the left, all other terms to the right. Simplifying pq = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + -3pq)' equal to zero and attempt to solve: Simplifying 1 + -3pq = 0 Solving 1 + -3pq = 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 + -3pq = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3pq = 0 + -1 -3pq = 0 + -1 Combine like terms: 0 + -1 = -1 -3pq = -1 Divide each side by '-3q'. p = 0.3333333333q-1 Simplifying p = 0.3333333333q-1Solution
p = {0.3333333333q-1}
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