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