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Simplifying 2rs + -6r + 4rs + 12r + -4s = 0 Reorder the terms: -6r + 12r + 2rs + 4rs + -4s = 0 Combine like terms: -6r + 12r = 6r 6r + 2rs + 4rs + -4s = 0 Combine like terms: 2rs + 4rs = 6rs 6r + 6rs + -4s = 0 Solving 6r + 6rs + -4s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4s' to each side of the equation. 6r + 6rs + -4s + 4s = 0 + 4s Combine like terms: -4s + 4s = 0 6r + 6rs + 0 = 0 + 4s 6r + 6rs = 0 + 4s Remove the zero: 6r + 6rs = 4s Combine like terms: 4s + -4s = 0 6r + 6rs + -4s = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3r + 3rs + -2s) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3r + 3rs + -2s)' equal to zero and attempt to solve: Simplifying 3r + 3rs + -2s = 0 Solving 3r + 3rs + -2s = 0 Move all terms containing r to the left, all other terms to the right. Add '2s' to each side of the equation. 3r + 3rs + -2s + 2s = 0 + 2s Combine like terms: -2s + 2s = 0 3r + 3rs + 0 = 0 + 2s 3r + 3rs = 0 + 2s Remove the zero: 3r + 3rs = 2s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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