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Simplifying 3r2 = 4r + 20 Reorder the terms: 3r2 = 20 + 4r Solving 3r2 = 20 + 4r Solving for variable 'r'. Reorder the terms: -20 + -4r + 3r2 = 20 + 4r + -20 + -4r Reorder the terms: -20 + -4r + 3r2 = 20 + -20 + 4r + -4r Combine like terms: 20 + -20 = 0 -20 + -4r + 3r2 = 0 + 4r + -4r -20 + -4r + 3r2 = 4r + -4r Combine like terms: 4r + -4r = 0 -20 + -4r + 3r2 = 0 Factor a trinomial. (-2 + -1r)(10 + -3r) = 0Subproblem 1
Set the factor '(-2 + -1r)' equal to zero and attempt to solve: Simplifying -2 + -1r = 0 Solving -2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = 0 + 2 -1r = 0 + 2 Combine like terms: 0 + 2 = 2 -1r = 2 Divide each side by '-1'. r = -2 Simplifying r = -2Subproblem 2
Set the factor '(10 + -3r)' equal to zero and attempt to solve: Simplifying 10 + -3r = 0 Solving 10 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3r = 0 + -10 -3r = 0 + -10 Combine like terms: 0 + -10 = -10 -3r = -10 Divide each side by '-3'. r = 3.333333333 Simplifying r = 3.333333333Solution
r = {-2, 3.333333333}
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