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Simplifying 0 = 5r2 + 18r + -35 Reorder the terms: 0 = -35 + 18r + 5r2 Solving 0 = -35 + 18r + 5r2 Solving for variable 'r'. Combine like terms: 0 + 35 = 35 35 + -18r + -5r2 = -35 + 18r + 5r2 + 35 + -18r + -5r2 Reorder the terms: 35 + -18r + -5r2 = -35 + 35 + 18r + -18r + 5r2 + -5r2 Combine like terms: -35 + 35 = 0 35 + -18r + -5r2 = 0 + 18r + -18r + 5r2 + -5r2 35 + -18r + -5r2 = 18r + -18r + 5r2 + -5r2 Combine like terms: 18r + -18r = 0 35 + -18r + -5r2 = 0 + 5r2 + -5r2 35 + -18r + -5r2 = 5r2 + -5r2 Combine like terms: 5r2 + -5r2 = 0 35 + -18r + -5r2 = 0 Factor a trinomial. (7 + -5r)(5 + r) = 0Subproblem 1
Set the factor '(7 + -5r)' equal to zero and attempt to solve: Simplifying 7 + -5r = 0 Solving 7 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5r = 0 + -7 -5r = 0 + -7 Combine like terms: 0 + -7 = -7 -5r = -7 Divide each side by '-5'. r = 1.4 Simplifying r = 1.4Subproblem 2
Set the factor '(5 + r)' equal to zero and attempt to solve: Simplifying 5 + r = 0 Solving 5 + r = 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 + r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + r = 0 + -5 r = 0 + -5 Combine like terms: 0 + -5 = -5 r = -5 Simplifying r = -5Solution
r = {1.4, -5}
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