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Simplifying 10r2 + -35r = 0 Reorder the terms: -35r + 10r2 = 0 Solving -35r + 10r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5r'. 5r(-7 + 2r) = 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 '(-7 + 2r)' equal to zero and attempt to solve: Simplifying -7 + 2r = 0 Solving -7 + 2r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2r = 0 + 7 2r = 0 + 7 Combine like terms: 0 + 7 = 7 2r = 7 Divide each side by '2'. r = 3.5 Simplifying r = 3.5Solution
r = {0, 3.5}
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