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Simplifying 5p + pq + -7p2q = 0 Solving 5p + pq + -7p2q = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(5 + q + -7pq) = 0Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(5 + q + -7pq)' equal to zero and attempt to solve: Simplifying 5 + q + -7pq = 0 Reorder the terms: 5 + -7pq + q = 0 Solving 5 + -7pq + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -7pq + -5 + q = 0 + -5 Reorder the terms: 5 + -5 + -7pq + q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7pq + q = 0 + -5 -7pq + q = 0 + -5 Combine like terms: 0 + -5 = -5 -7pq + q = -5 Add '-1q' to each side of the equation. -7pq + q + -1q = -5 + -1q Combine like terms: q + -1q = 0 -7pq + 0 = -5 + -1q -7pq = -5 + -1q Divide each side by '-7q'. p = 0.7142857143q-1 + 0.1428571429 Simplifying p = 0.7142857143q-1 + 0.1428571429 Reorder the terms: p = 0.1428571429 + 0.7142857143q-1Solution
p = {0, 0.1428571429 + 0.7142857143q-1}
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