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Simplifying -14r + r2 + 5r = 0 Reorder the terms: -14r + 5r + r2 = 0 Combine like terms: -14r + 5r = -9r -9r + r2 = 0 Solving -9r + r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-9 + r) = 0Subproblem 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 + r)' equal to zero and attempt to solve: Simplifying -9 + r = 0 Solving -9 + r = 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 + r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + r = 0 + 9 r = 0 + 9 Combine like terms: 0 + 9 = 9 r = 9 Simplifying r = 9Solution
r = {0, 9}
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