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Simplifying (3r2) + -1(10r) = 0 Remove parenthesis around (10r) (3r2) + -1 * 10r = 0 Multiply -1 * 10 (3r2) + -10r = 0 Reorder the terms: -10r + (3r2) = 0 Solving -10r + (3r2) = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-10 + (3r)) = 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 '(-10 + (3r))' equal to zero and attempt to solve: Simplifying -10 + (3r) = 0 Solving -10 + (3r) = 0 Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + (3r) = 0 + 10 Combine like terms: -10 + 10 = 0 0 + (3r) = 0 + 10 (3r) = 0 + 10 Combine like terms: 0 + 10 = 10 (3r) = 10 Divide each side by '3'. r = 3.333333333 Simplifying r = 3.333333333Solution
r = {0, 3.333333333}
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