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Simplifying 12rt + -10r + 18t = 0 Reorder the terms: -10r + 12rt + 18t = 0 Solving -10r + 12rt + 18t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18t' to each side of the equation. -10r + 12rt + 18t + -18t = 0 + -18t Combine like terms: 18t + -18t = 0 -10r + 12rt + 0 = 0 + -18t -10r + 12rt = 0 + -18t Remove the zero: -10r + 12rt = -18t Combine like terms: -18t + 18t = 0 -10r + 12rt + 18t = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5r + 6rt + 9t) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5r + 6rt + 9t)' equal to zero and attempt to solve: Simplifying -5r + 6rt + 9t = 0 Solving -5r + 6rt + 9t = 0 Move all terms containing r to the left, all other terms to the right. Add '-9t' to each side of the equation. -5r + 6rt + 9t + -9t = 0 + -9t Combine like terms: 9t + -9t = 0 -5r + 6rt + 0 = 0 + -9t -5r + 6rt = 0 + -9t Remove the zero: -5r + 6rt = -9t 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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