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Simplifying r2 + r + -650 = 0 Reorder the terms: -650 + r + r2 = 0 Solving -650 + r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-26 + -1r)(25 + -1r) = 0Subproblem 1
Set the factor '(-26 + -1r)' equal to zero and attempt to solve: Simplifying -26 + -1r = 0 Solving -26 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -1r = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -1r = 0 + 26 -1r = 0 + 26 Combine like terms: 0 + 26 = 26 -1r = 26 Divide each side by '-1'. r = -26 Simplifying r = -26Subproblem 2
Set the factor '(25 + -1r)' equal to zero and attempt to solve: Simplifying 25 + -1r = 0 Solving 25 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1r = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1r = 0 + -25 -1r = 0 + -25 Combine like terms: 0 + -25 = -25 -1r = -25 Divide each side by '-1'. r = 25 Simplifying r = 25Solution
r = {-26, 25}
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