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Simplifying 7r(-8r + 2) = 0 Reorder the terms: 7r(2 + -8r) = 0 (2 * 7r + -8r * 7r) = 0 (14r + -56r2) = 0 Solving 14r + -56r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '14r'. 14r(1 + -4r) = 0 Ignore the factor 14.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 + -4r)' equal to zero and attempt to solve: Simplifying 1 + -4r = 0 Solving 1 + -4r = 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 + -4r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4r = 0 + -1 -4r = 0 + -1 Combine like terms: 0 + -1 = -1 -4r = -1 Divide each side by '-4'. r = 0.25 Simplifying r = 0.25Solution
r = {0, 0.25}
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