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Simplifying 8p3q6 = 4p2q5 Solving 8p3q6 = 4p2q5 Solving for variable 'p'. Reorder the terms: -4p2q5 + 8p3q6 = 4p2q5 + -4p2q5 Combine like terms: 4p2q5 + -4p2q5 = 0 -4p2q5 + 8p3q6 = 0 Factor out the Greatest Common Factor (GCF), '4p2q5'. 4p2q5(-1 + 2pq) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'p2q5' equal to zero and attempt to solve: Simplifying p2q5 = 0 Solving p2q5 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2q5 = 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 + 2pq)' equal to zero and attempt to solve: Simplifying -1 + 2pq = 0 Solving -1 + 2pq = 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 + 2pq = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2pq = 0 + 1 2pq = 0 + 1 Combine like terms: 0 + 1 = 1 2pq = 1 Divide each side by '2q'. p = 0.5q-1 Simplifying p = 0.5q-1Solution
p = {0.5q-1}
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