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Simplifying 8pq + 6pr + -4ps = 0 Solving 8pq + 6pr + -4ps = 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), '2p'. 2p(4q + 3r + -2s) = 0 Ignore the factor 2.Subproblem 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 '(4q + 3r + -2s)' equal to zero and attempt to solve: Simplifying 4q + 3r + -2s = 0 Solving 4q + 3r + -2s = 0 Move all terms containing p to the left, all other terms to the right. Add '-4q' to each side of the equation. 4q + 3r + -4q + -2s = 0 + -4q Reorder the terms: 4q + -4q + 3r + -2s = 0 + -4q Combine like terms: 4q + -4q = 0 0 + 3r + -2s = 0 + -4q 3r + -2s = 0 + -4q Remove the zero: 3r + -2s = -4q Add '-3r' to each side of the equation. 3r + -3r + -2s = -4q + -3r Combine like terms: 3r + -3r = 0 0 + -2s = -4q + -3r -2s = -4q + -3r Add '2s' to each side of the equation. -2s + 2s = -4q + -3r + 2s Combine like terms: -2s + 2s = 0 0 = -4q + -3r + 2s Simplifying 0 = -4q + -3r + 2s 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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