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Simplifying 3p + -1pq + 4pr = 0 Solving 3p + -1pq + 4pr = 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(3 + -1q + 4r) = 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 '(3 + -1q + 4r)' equal to zero and attempt to solve: Simplifying 3 + -1q + 4r = 0 Solving 3 + -1q + 4r = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1q + -3 + 4r = 0 + -3 Reorder the terms: 3 + -3 + -1q + 4r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1q + 4r = 0 + -3 -1q + 4r = 0 + -3 Combine like terms: 0 + -3 = -3 -1q + 4r = -3 Add 'q' to each side of the equation. -1q + q + 4r = -3 + q Combine like terms: -1q + q = 0 0 + 4r = -3 + q 4r = -3 + q Add '-4r' to each side of the equation. 4r + -4r = -3 + q + -4r Combine like terms: 4r + -4r = 0 0 = -3 + q + -4r Simplifying 0 = -3 + q + -4r 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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