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Simplifying 5r(r + -8) = 0 Reorder the terms: 5r(-8 + r) = 0 (-8 * 5r + r * 5r) = 0 (-40r + 5r^{2}) = 0 Solving -40r + 5r^{2}= 0 Solving for variable 'r'. 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 = 0## Subproblem 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 = 8## Solution

r = {0, 8}

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