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Simplifying (11r + 6)(5r + -4) = 0 Reorder the terms: (6 + 11r)(5r + -4) = 0 Reorder the terms: (6 + 11r)(-4 + 5r) = 0 Multiply (6 + 11r) * (-4 + 5r) (6(-4 + 5r) + 11r * (-4 + 5r)) = 0 ((-4 * 6 + 5r * 6) + 11r * (-4 + 5r)) = 0 ((-24 + 30r) + 11r * (-4 + 5r)) = 0 (-24 + 30r + (-4 * 11r + 5r * 11r)) = 0 (-24 + 30r + (-44r + 55r2)) = 0 Combine like terms: 30r + -44r = -14r (-24 + -14r + 55r2) = 0 Solving -24 + -14r + 55r2 = 0 Solving for variable 'r'. Factor a trinomial. (-6 + -11r)(4 + -5r) = 0Subproblem 1
Set the factor '(-6 + -11r)' equal to zero and attempt to solve: Simplifying -6 + -11r = 0 Solving -6 + -11r = 0 Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -11r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -11r = 0 + 6 -11r = 0 + 6 Combine like terms: 0 + 6 = 6 -11r = 6 Divide each side by '-11'. r = -0.5454545455 Simplifying r = -0.5454545455Subproblem 2
Set the factor '(4 + -5r)' equal to zero and attempt to solve: Simplifying 4 + -5r = 0 Solving 4 + -5r = 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 + -5r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5r = 0 + -4 -5r = 0 + -4 Combine like terms: 0 + -4 = -4 -5r = -4 Divide each side by '-5'. r = 0.8 Simplifying r = 0.8Solution
r = {-0.5454545455, 0.8}
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