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Simplifying 21r2 + 64r + -20 = 0 Reorder the terms: -20 + 64r + 21r2 = 0 Solving -20 + 64r + 21r2 = 0 Solving for variable 'r'. Factor a trinomial. (-10 + -3r)(2 + -7r) = 0Subproblem 1
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 = -3.333333333Subproblem 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 = {-3.333333333, 0.2857142857}
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