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Simplifying 16r2 + 48r + 27 = 0 Reorder the terms: 27 + 48r + 16r2 = 0 Solving 27 + 48r + 16r2 = 0 Solving for variable 'r'. Factor a trinomial. (9 + 4r)(3 + 4r) = 0Subproblem 1
Set the factor '(9 + 4r)' equal to zero and attempt to solve: Simplifying 9 + 4r = 0 Solving 9 + 4r = 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 + 4r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4r = 0 + -9 4r = 0 + -9 Combine like terms: 0 + -9 = -9 4r = -9 Divide each side by '4'. r = -2.25 Simplifying r = -2.25Subproblem 2
Set the factor '(3 + 4r)' equal to zero and attempt to solve: Simplifying 3 + 4r = 0 Solving 3 + 4r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4r = 0 + -3 4r = 0 + -3 Combine like terms: 0 + -3 = -3 4r = -3 Divide each side by '4'. r = -0.75 Simplifying r = -0.75Solution
r = {-2.25, -0.75}
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