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Simplifying 3r2 + 21r2 = 54r Combine like terms: 3r2 + 21r2 = 24r2 24r2 = 54r Solving 24r2 = 54r Solving for variable 'r'. Reorder the terms: -54r + 24r2 = 54r + -54r Combine like terms: 54r + -54r = 0 -54r + 24r2 = 0 Factor out the Greatest Common Factor (GCF), '6r'. 6r(-9 + 4r) = 0 Ignore the factor 6.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 '(-9 + 4r)' equal to zero and attempt to solve: Simplifying -9 + 4r = 0 Solving -9 + 4r = 0 Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4r = 0 + 9 4r = 0 + 9 Combine like terms: 0 + 9 = 9 4r = 9 Divide each side by '4'. r = 2.25 Simplifying r = 2.25Solution
r = {0, 2.25}
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