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Simplifying 25r + -1r2 = 100 Solving 25r + -1r2 = 100 Solving for variable 'r'. Reorder the terms: -100 + 25r + -1r2 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + 25r + -1r2 = 0 Factor a trinomial. (-20 + r)(5 + -1r) = 0Subproblem 1
Set the factor '(-20 + r)' equal to zero and attempt to solve: Simplifying -20 + r = 0 Solving -20 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + r = 0 + 20 Combine like terms: -20 + 20 = 0 0 + r = 0 + 20 r = 0 + 20 Combine like terms: 0 + 20 = 20 r = 20 Simplifying r = 20Subproblem 2
Set the factor '(5 + -1r)' equal to zero and attempt to solve: Simplifying 5 + -1r = 0 Solving 5 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1r = 0 + -5 -1r = 0 + -5 Combine like terms: 0 + -5 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5Solution
r = {20, 5}
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