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Simplifying 5r(14r + 9) = 0 Reorder the terms: 5r(9 + 14r) = 0 (9 * 5r + 14r * 5r) = 0 (45r + 70r2) = 0 Solving 45r + 70r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5r'. 5r(9 + 14r) = 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 '(9 + 14r)' equal to zero and attempt to solve: Simplifying 9 + 14r = 0 Solving 9 + 14r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 14r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 14r = 0 + -9 14r = 0 + -9 Combine like terms: 0 + -9 = -9 14r = -9 Divide each side by '14'. r = -0.6428571429 Simplifying r = -0.6428571429Solution
r = {0, -0.6428571429}
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