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Simplifying 21r2 + 20r + 4 = 0 Reorder the terms: 4 + 20r + 21r2 = 0 Solving 4 + 20r + 21r2 = 0 Solving for variable 'r'. Factor a trinomial. (2 + 3r)(2 + 7r) = 0Subproblem 1
Set the factor '(2 + 3r)' equal to zero and attempt to solve: Simplifying 2 + 3r = 0 Solving 2 + 3r = 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 + 3r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3r = 0 + -2 3r = 0 + -2 Combine like terms: 0 + -2 = -2 3r = -2 Divide each side by '3'. r = -0.6666666667 Simplifying r = -0.6666666667Subproblem 2
Set the factor '(2 + 7r)' equal to zero and attempt to solve: Simplifying 2 + 7r = 0 Solving 2 + 7r = 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 + 7r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7r = 0 + -2 7r = 0 + -2 Combine like terms: 0 + -2 = -2 7r = -2 Divide each side by '7'. r = -0.2857142857 Simplifying r = -0.2857142857Solution
r = {-0.6666666667, -0.2857142857}
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