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Simplifying r215tw + 5wr + -3tr = 0 Reorder the terms: -3rt + 5rw + r215tw = 0 Solving -3rt + 5rw + r215tw = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-3t + 5w + r214tw) = 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 '(-3t + 5w + r214tw)' equal to zero and attempt to solve: Simplifying -3t + 5w + r214tw = 0 Reorder the terms: r214tw + -3t + 5w = 0 Solving r214tw + -3t + 5w = 0 Move all terms containing r to the left, all other terms to the right. Add '3t' to each side of the equation. r214tw + -3t + 3t + 5w = 0 + 3t Combine like terms: -3t + 3t = 0 r214tw + 0 + 5w = 0 + 3t r214tw + 5w = 0 + 3t Remove the zero: r214tw + 5w = 3t Add '-5w' to each side of the equation. r214tw + 5w + -5w = 3t + -5w Combine like terms: 5w + -5w = 0 r214tw + 0 = 3t + -5w r214tw = 3t + -5w Divide each side by 'tw'. r214 = 3w-1 + -5t-1 Simplifying r214 = 3w-1 + -5t-1 Reorder the terms: r214 = -5t-1 + 3w-1 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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