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Simplifying r(r + 5) + -104 = 0 Reorder the terms: r(5 + r) + -104 = 0 (5 * r + r * r) + -104 = 0 (5r + r2) + -104 = 0 Reorder the terms: -104 + 5r + r2 = 0 Solving -104 + 5r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-13 + -1r)(8 + -1r) = 0Subproblem 1
Set the factor '(-13 + -1r)' equal to zero and attempt to solve: Simplifying -13 + -1r = 0 Solving -13 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1r = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1r = 0 + 13 -1r = 0 + 13 Combine like terms: 0 + 13 = 13 -1r = 13 Divide each side by '-1'. r = -13 Simplifying r = -13Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve: Simplifying 8 + -1r = 0 Solving 8 + -1r = 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 + -1r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 0 + -8 -1r = 0 + -8 Combine like terms: 0 + -8 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8Solution
r = {-13, 8}
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