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Simplifying 5r3 + -10r2 = 0 Reorder the terms: -10r2 + 5r3 = 0 Solving -10r2 + 5r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5r2'. 5r2(-2 + r) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve: Simplifying r2 = 0 Solving r2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2 = 0 Take the square root of each side: r = {0}Subproblem 2
Set the factor '(-2 + r)' equal to zero and attempt to solve: Simplifying -2 + r = 0 Solving -2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + r = 0 + 2 r = 0 + 2 Combine like terms: 0 + 2 = 2 r = 2 Simplifying r = 2Solution
r = {0, 2}
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