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Simplifying 8rt + 6r2 = 0 Solving 8rt + 6r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(4t + 3r) = 0 Ignore the factor 2.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 '(4t + 3r)' equal to zero and attempt to solve: Simplifying 4t + 3r = 0 Reorder the terms: 3r + 4t = 0 Solving 3r + 4t = 0 Move all terms containing r to the left, all other terms to the right. Add '-4t' to each side of the equation. 3r + 4t + -4t = 0 + -4t Combine like terms: 4t + -4t = 0 3r + 0 = 0 + -4t 3r = 0 + -4t Remove the zero: 3r = -4t Divide each side by '3'. r = -1.333333333t Simplifying r = -1.333333333tSolution
r = {0, -1.333333333t}
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