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Simplifying 21r2 + 58r + -40 = 0 Reorder the terms: -40 + 58r + 21r2 = 0 Solving -40 + 58r + 21r2 = 0 Solving for variable 'r'. Factor a trinomial. (-10 + -3r)(4 + -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 '(4 + -7r)' equal to zero and attempt to solve: Simplifying 4 + -7r = 0 Solving 4 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7r = 0 + -4 -7r = 0 + -4 Combine like terms: 0 + -4 = -4 -7r = -4 Divide each side by '-7'. r = 0.5714285714 Simplifying r = 0.5714285714Solution
r = {-3.333333333, 0.5714285714}
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