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Simplifying 9r2 + -39r + 44 = 4 Reorder the terms: 44 + -39r + 9r2 = 4 Solving 44 + -39r + 9r2 = 4 Solving for variable 'r'. Reorder the terms: 44 + -4 + -39r + 9r2 = 4 + -4 Combine like terms: 44 + -4 = 40 40 + -39r + 9r2 = 4 + -4 Combine like terms: 4 + -4 = 0 40 + -39r + 9r2 = 0 Factor a trinomial. (5 + -3r)(8 + -3r) = 0Subproblem 1
Set the factor '(5 + -3r)' equal to zero and attempt to solve: Simplifying 5 + -3r = 0 Solving 5 + -3r = 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 + -3r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3r = 0 + -5 -3r = 0 + -5 Combine like terms: 0 + -5 = -5 -3r = -5 Divide each side by '-3'. r = 1.666666667 Simplifying r = 1.666666667Subproblem 2
Set the factor '(8 + -3r)' equal to zero and attempt to solve: Simplifying 8 + -3r = 0 Solving 8 + -3r = 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 + -3r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3r = 0 + -8 -3r = 0 + -8 Combine like terms: 0 + -8 = -8 -3r = -8 Divide each side by '-3'. r = 2.666666667 Simplifying r = 2.666666667Solution
r = {1.666666667, 2.666666667}
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