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Simplifying r2 + -26r + 48 = 0 Reorder the terms: 48 + -26r + r2 = 0 Solving 48 + -26r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (2 + -1r)(24 + -1r) = 0Subproblem 1
Set the factor '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 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 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2Subproblem 2
Set the factor '(24 + -1r)' equal to zero and attempt to solve: Simplifying 24 + -1r = 0 Solving 24 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1r = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1r = 0 + -24 -1r = 0 + -24 Combine like terms: 0 + -24 = -24 -1r = -24 Divide each side by '-1'. r = 24 Simplifying r = 24Solution
r = {2, 24}
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