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Simplifying 7pq2 + -5pq(2 + -9) = 0 Combine like terms: 2 + -9 = -7 7pq2 + -5pq(-7) = 0 Reorder the terms for easier multiplication: 7pq2 + -5 * -7pq = 0 Multiply -5 * -7 7pq2 + 35pq = 0 Reorder the terms: 35pq + 7pq2 = 0 Solving 35pq + 7pq2 = 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), '7pq'. 7pq(5 + q) = 0 Ignore the factor 7.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 + q)' equal to zero and attempt to solve: Simplifying 5 + q = 0 Solving 5 + 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 + -5 + q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + q = 0 + -5 q = 0 + -5 Combine like terms: 0 + -5 = -5 q = -5 Add '-1q' to each side of the equation. q + -1q = -5 + -1q Combine like terms: q + -1q = 0 0 = -5 + -1q Simplifying 0 = -5 + -1q 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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