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Simplifying 40r2 + -5r = 0 Reorder the terms: -5r + 40r2 = 0 Solving -5r + 40r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5r'. 5r(-1 + 8r) = 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 '(-1 + 8r)' equal to zero and attempt to solve: Simplifying -1 + 8r = 0 Solving -1 + 8r = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8r = 0 + 1 8r = 0 + 1 Combine like terms: 0 + 1 = 1 8r = 1 Divide each side by '8'. r = 0.125 Simplifying r = 0.125Solution
r = {0, 0.125}
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