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Simplifying 4r2 + -1r = 33 Reorder the terms: -1r + 4r2 = 33 Solving -1r + 4r2 = 33 Solving for variable 'r'. Reorder the terms: -33 + -1r + 4r2 = 33 + -33 Combine like terms: 33 + -33 = 0 -33 + -1r + 4r2 = 0 Factor a trinomial. (-11 + -4r)(3 + -1r) = 0Subproblem 1
Set the factor '(-11 + -4r)' equal to zero and attempt to solve: Simplifying -11 + -4r = 0 Solving -11 + -4r = 0 Move all terms containing r to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4r = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4r = 0 + 11 -4r = 0 + 11 Combine like terms: 0 + 11 = 11 -4r = 11 Divide each side by '-4'. r = -2.75 Simplifying r = -2.75Subproblem 2
Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 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 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3Solution
r = {-2.75, 3}
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