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