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Simplifying 3r2 = 7r Solving 3r2 = 7r Solving for variable 'r'. Reorder the terms: -7r + 3r2 = 7r + -7r Combine like terms: 7r + -7r = 0 -7r + 3r2 = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(-7 + 3r) = 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 '(-7 + 3r)' equal to zero and attempt to solve: Simplifying -7 + 3r = 0 Solving -7 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3r = 0 + 7 3r = 0 + 7 Combine like terms: 0 + 7 = 7 3r = 7 Divide each side by '3'. r = 2.333333333 Simplifying r = 2.333333333Solution
r = {0, 2.333333333}
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