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Simplifying 2r(7r + -2) = 0 Reorder the terms: 2r(-2 + 7r) = 0 (-2 * 2r + 7r * 2r) = 0 (-4r + 14r2) = 0 Solving -4r + 14r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(-2 + 7r) = 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 '(-2 + 7r)' equal to zero and attempt to solve: Simplifying -2 + 7r = 0 Solving -2 + 7r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7r = 0 + 2 7r = 0 + 2 Combine like terms: 0 + 2 = 2 7r = 2 Divide each side by '7'. r = 0.2857142857 Simplifying r = 0.2857142857Solution
r = {0, 0.2857142857}
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