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Simplifying 5r(7r + -5) = 0 Reorder the terms: 5r(-5 + 7r) = 0 (-5 * 5r + 7r * 5r) = 0 (-25r + 35r2) = 0 Solving -25r + 35r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5r'. 5r(-5 + 7r) = 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 '(-5 + 7r)' equal to zero and attempt to solve: Simplifying -5 + 7r = 0 Solving -5 + 7r = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7r = 0 + 5 7r = 0 + 5 Combine like terms: 0 + 5 = 5 7r = 5 Divide each side by '7'. r = 0.7142857143 Simplifying r = 0.7142857143Solution
r = {0, 0.7142857143}
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