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Simplifying 3rs + -5r + s + -4rs + 12r + -1s = 0 Reorder the terms: -5r + 12r + 3rs + -4rs + s + -1s = 0 Combine like terms: -5r + 12r = 7r 7r + 3rs + -4rs + s + -1s = 0 Combine like terms: 3rs + -4rs = -1rs 7r + -1rs + s + -1s = 0 Combine like terms: s + -1s = 0 7r + -1rs + 0 = 0 7r + -1rs = 0 Solving 7r + -1rs = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'r'. r(7 + -1s) = 0Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
Set the factor '(7 + -1s)' equal to zero and attempt to solve: Simplifying 7 + -1s = 0 Solving 7 + -1s = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 0 + -7 -1s = 0 + -7 Combine like terms: 0 + -7 = -7 -1s = -7 Add 's' to each side of the equation. -1s + s = -7 + s Combine like terms: -1s + s = 0 0 = -7 + s Simplifying 0 = -7 + s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
r = {0}
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