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Simplifying 24 = 5r + r * r Multiply r * r 24 = 5r + r2 Solving 24 = 5r + r2 Solving for variable 'r'. Reorder the terms: 24 + -5r + -1r2 = 5r + -5r + r2 + -1r2 Combine like terms: 5r + -5r = 0 24 + -5r + -1r2 = 0 + r2 + -1r2 24 + -5r + -1r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 24 + -5r + -1r2 = 0 Factor a trinomial. (3 + -1r)(8 + r) = 0Subproblem 1
Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3Subproblem 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 = -8Solution
r = {3, -8}
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