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Simplifying 5p + pq + 6pr = 0 Solving 5p + pq + 6pr = 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), 'p'. p(5 + q + 6r) = 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 + 6r)' equal to zero and attempt to solve: Simplifying 5 + q + 6r = 0 Solving 5 + q + 6r = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + q + -5 + 6r = 0 + -5 Reorder the terms: 5 + -5 + q + 6r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + q + 6r = 0 + -5 q + 6r = 0 + -5 Combine like terms: 0 + -5 = -5 q + 6r = -5 Add '-1q' to each side of the equation. q + -1q + 6r = -5 + -1q Combine like terms: q + -1q = 0 0 + 6r = -5 + -1q 6r = -5 + -1q Add '-6r' to each side of the equation. 6r + -6r = -5 + -1q + -6r Combine like terms: 6r + -6r = 0 0 = -5 + -1q + -6r Simplifying 0 = -5 + -1q + -6r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
p = {0}
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