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Simplifying 3r(7r + t) = 0 (7r * 3r + t * 3r) = 0 Reorder the terms: (3rt + 21r2) = 0 (3rt + 21r2) = 0 Solving 3rt + 21r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3r'. 3r(t + 7r) = 0 Ignore the factor 3.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 '(t + 7r)' equal to zero and attempt to solve: Simplifying t + 7r = 0 Reorder the terms: 7r + t = 0 Solving 7r + t = 0 Move all terms containing r to the left, all other terms to the right. Add '-1t' to each side of the equation. 7r + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 7r + 0 = 0 + -1t 7r = 0 + -1t Remove the zero: 7r = -1t Divide each side by '7'. r = -0.1428571429t Simplifying r = -0.1428571429tSolution
r = {0, -0.1428571429t}
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