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Simplifying (8r + 1)(5r + 6) = 0 Reorder the terms: (1 + 8r)(5r + 6) = 0 Reorder the terms: (1 + 8r)(6 + 5r) = 0 Multiply (1 + 8r) * (6 + 5r) (1(6 + 5r) + 8r * (6 + 5r)) = 0 ((6 * 1 + 5r * 1) + 8r * (6 + 5r)) = 0 ((6 + 5r) + 8r * (6 + 5r)) = 0 (6 + 5r + (6 * 8r + 5r * 8r)) = 0 (6 + 5r + (48r + 40r2)) = 0 Combine like terms: 5r + 48r = 53r (6 + 53r + 40r2) = 0 Solving 6 + 53r + 40r2 = 0 Solving for variable 'r'. Factor a trinomial. (6 + 5r)(1 + 8r) = 0Subproblem 1
Set the factor '(6 + 5r)' equal to zero and attempt to solve: Simplifying 6 + 5r = 0 Solving 6 + 5r = 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 + 5r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5r = 0 + -6 5r = 0 + -6 Combine like terms: 0 + -6 = -6 5r = -6 Divide each side by '5'. r = -1.2 Simplifying r = -1.2Subproblem 2
Set the factor '(1 + 8r)' equal to zero and attempt to solve: Simplifying 1 + 8r = 0 Solving 1 + 8r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8r = 0 + -1 8r = 0 + -1 Combine like terms: 0 + -1 = -1 8r = -1 Divide each side by '8'. r = -0.125 Simplifying r = -0.125Solution
r = {-1.2, -0.125}
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