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Simplifying 28r2 = 4r Solving 28r2 = 4r Solving for variable 'r'. Reorder the terms: -4r + 28r2 = 4r + -4r Combine like terms: 4r + -4r = 0 -4r + 28r2 = 0 Factor out the Greatest Common Factor (GCF), '4r'. 4r(-1 + 7r) = 0 Ignore the factor 4.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 '(-1 + 7r)' equal to zero and attempt to solve: Simplifying -1 + 7r = 0 Solving -1 + 7r = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7r = 0 + 1 7r = 0 + 1 Combine like terms: 0 + 1 = 1 7r = 1 Divide each side by '7'. r = 0.1428571429 Simplifying r = 0.1428571429Solution
r = {0, 0.1428571429}
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