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Simplifying 12rt + 2 * 4r + 3t * 2r + r = 0 Multiply 2 * 4 12rt + 8r + 3t * 2r + r = 0 Reorder the terms for easier multiplication: 12rt + 8r + 3 * 2t * r + r = 0 Multiply 3 * 2 12rt + 8r + 6t * r + r = 0 Multiply t * r 12rt + 8r + 6rt + r = 0 Reorder the terms: 8r + r + 12rt + 6rt = 0 Combine like terms: 8r + r = 9r 9r + 12rt + 6rt = 0 Combine like terms: 12rt + 6rt = 18rt 9r + 18rt = 0 Solving 9r + 18rt = 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), '9r'. 9r(1 + 2t) = 0 Ignore the factor 9.Subproblem 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 '(1 + 2t)' equal to zero and attempt to solve: Simplifying 1 + 2t = 0 Solving 1 + 2t = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2t = 0 + -1 2t = 0 + -1 Combine like terms: 0 + -1 = -1 2t = -1 Add '-2t' to each side of the equation. 2t + -2t = -1 + -2t Combine like terms: 2t + -2t = 0 0 = -1 + -2t Simplifying 0 = -1 + -2t 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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