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Simplifying 3r2 + 48 = 24r Reorder the terms: 48 + 3r2 = 24r Solving 48 + 3r2 = 24r Solving for variable 'r'. Reorder the terms: 48 + -24r + 3r2 = 24r + -24r Combine like terms: 24r + -24r = 0 48 + -24r + 3r2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(16 + -8r + r2) = 0 Factor a trinomial. 3((4 + -1r)(4 + -1r)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Subproblem 2
Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Solution
r = {4, 4}
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