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Simplifying 7pq2 + -5pq(2 + -1q) = 0 7pq2 + (2 * -5pq + -1q * -5pq) = 0 7pq2 + (-10pq + 5pq2) = 0 Reorder the terms: -10pq + 7pq2 + 5pq2 = 0 Combine like terms: 7pq2 + 5pq2 = 12pq2 -10pq + 12pq2 = 0 Solving -10pq + 12pq2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2pq'. 2pq(-5 + 6q) = 0 Ignore the factor 2.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 '(-5 + 6q)' equal to zero and attempt to solve: Simplifying -5 + 6q = 0 Solving -5 + 6q = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6q = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6q = 0 + 5 6q = 0 + 5 Combine like terms: 0 + 5 = 5 6q = 5 Add '-6q' to each side of the equation. 6q + -6q = 5 + -6q Combine like terms: 6q + -6q = 0 0 = 5 + -6q Simplifying 0 = 5 + -6q 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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