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Simplifying 2r2 + 19r + 45 = 0 Reorder the terms: 45 + 19r + 2r2 = 0 Solving 45 + 19r + 2r2 = 0 Solving for variable 'r'. Factor a trinomial. (5 + r)(9 + 2r) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(9 + 2r)' equal to zero and attempt to solve: Simplifying 9 + 2r = 0 Solving 9 + 2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2r = 0 + -9 2r = 0 + -9 Combine like terms: 0 + -9 = -9 2r = -9 Divide each side by '2'. r = -4.5 Simplifying r = -4.5Solution
r = {-5, -4.5}
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