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Simplifying 20r2 + -43r + 21 = 0 Reorder the terms: 21 + -43r + 20r2 = 0 Solving 21 + -43r + 20r2 = 0 Solving for variable 'r'. Factor a trinomial. (3 + -4r)(7 + -5r) = 0Subproblem 1
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 = 0.75Subproblem 2
Set the factor '(7 + -5r)' equal to zero and attempt to solve: Simplifying 7 + -5r = 0 Solving 7 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5r = 0 + -7 -5r = 0 + -7 Combine like terms: 0 + -7 = -7 -5r = -7 Divide each side by '-5'. r = 1.4 Simplifying r = 1.4Solution
r = {0.75, 1.4}
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