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Simplifying 7r(5 + 7r) = 0 (5 * 7r + 7r * 7r) = 0 (35r + 49r2) = 0 Solving 35r + 49r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7r'. 7r(5 + 7r) = 0 Ignore the factor 7.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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