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Simplifying 5pq + -3p(q + -1r) = 0 5pq + (q * -3p + -1r * -3p) = 0 5pq + (-3pq + 3pr) = 0 Combine like terms: 5pq + -3pq = 2pq 2pq + 3pr = 0 Solving 2pq + 3pr = 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(2q + 3r) = 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 '(2q + 3r)' equal to zero and attempt to solve: Simplifying 2q + 3r = 0 Solving 2q + 3r = 0 Move all terms containing p to the left, all other terms to the right. Add '-2q' to each side of the equation. 2q + -2q + 3r = 0 + -2q Combine like terms: 2q + -2q = 0 0 + 3r = 0 + -2q 3r = 0 + -2q Remove the zero: 3r = -2q Add '-3r' to each side of the equation. 3r + -3r = -2q + -3r Combine like terms: 3r + -3r = 0 0 = -2q + -3r Simplifying 0 = -2q + -3r 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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