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Simplifying 42r2 + -35r = 0 Reorder the terms: -35r + 42r2 = 0 Solving -35r + 42r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7r'. 7r(-5 + 6r) = 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 + 6r)' equal to zero and attempt to solve: Simplifying -5 + 6r = 0 Solving -5 + 6r = 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 + 6r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6r = 0 + 5 6r = 0 + 5 Combine like terms: 0 + 5 = 5 6r = 5 Divide each side by '6'. r = 0.8333333333 Simplifying r = 0.8333333333Solution
r = {0, 0.8333333333}
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