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Simplifying 4p + pq + 5pr = 0 Solving 4p + pq + 5pr = 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(4 + q + 5r) = 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 '(4 + q + 5r)' equal to zero and attempt to solve: Simplifying 4 + q + 5r = 0 Solving 4 + q + 5r = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + q + -4 + 5r = 0 + -4 Reorder the terms: 4 + -4 + q + 5r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + q + 5r = 0 + -4 q + 5r = 0 + -4 Combine like terms: 0 + -4 = -4 q + 5r = -4 Add '-1q' to each side of the equation. q + -1q + 5r = -4 + -1q Combine like terms: q + -1q = 0 0 + 5r = -4 + -1q 5r = -4 + -1q Add '-5r' to each side of the equation. 5r + -5r = -4 + -1q + -5r Combine like terms: 5r + -5r = 0 0 = -4 + -1q + -5r Simplifying 0 = -4 + -1q + -5r 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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