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Simplifying 5r2 = 35r Solving 5r2 = 35r Solving for variable 'r'. Reorder the terms: -35r + 5r2 = 35r + -35r Combine like terms: 35r + -35r = 0 -35r + 5r2 = 0 Factor out the Greatest Common Factor (GCF), '5r'. 5r(-7 + r) = 0 Ignore the factor 5.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 '(-7 + r)' equal to zero and attempt to solve: Simplifying -7 + r = 0 Solving -7 + r = 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 + r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + r = 0 + 7 r = 0 + 7 Combine like terms: 0 + 7 = 7 r = 7 Simplifying r = 7Solution
r = {0, 7}
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