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Simplifying -1r2 + -5r + 2250 = 0 Reorder the terms: 2250 + -5r + -1r2 = 0 Solving 2250 + -5r + -1r2 = 0 Solving for variable 'r'. Factor a trinomial. (45 + -1r)(50 + r) = 0Subproblem 1
Set the factor '(45 + -1r)' equal to zero and attempt to solve: Simplifying 45 + -1r = 0 Solving 45 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1r = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1r = 0 + -45 -1r = 0 + -45 Combine like terms: 0 + -45 = -45 -1r = -45 Divide each side by '-1'. r = 45 Simplifying r = 45Subproblem 2
Set the factor '(50 + r)' equal to zero and attempt to solve: Simplifying 50 + r = 0 Solving 50 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + r = 0 + -50 Combine like terms: 50 + -50 = 0 0 + r = 0 + -50 r = 0 + -50 Combine like terms: 0 + -50 = -50 r = -50 Simplifying r = -50Solution
r = {45, -50}
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