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Simplifying (-5r + -2)(-6r + -5) = 0 Reorder the terms: (-2 + -5r)(-6r + -5) = 0 Reorder the terms: (-2 + -5r)(-5 + -6r) = 0 Multiply (-2 + -5r) * (-5 + -6r) (-2(-5 + -6r) + -5r * (-5 + -6r)) = 0 ((-5 * -2 + -6r * -2) + -5r * (-5 + -6r)) = 0 ((10 + 12r) + -5r * (-5 + -6r)) = 0 (10 + 12r + (-5 * -5r + -6r * -5r)) = 0 (10 + 12r + (25r + 30r2)) = 0 Combine like terms: 12r + 25r = 37r (10 + 37r + 30r2) = 0 Solving 10 + 37r + 30r2 = 0 Solving for variable 'r'. Factor a trinomial. (5 + 6r)(2 + 5r) = 0Subproblem 1
Set the factor '(5 + 6r)' equal to zero and attempt to solve: Simplifying 5 + 6r = 0 Solving 5 + 6r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6r = 0 + -5 6r = 0 + -5 Combine like terms: 0 + -5 = -5 6r = -5 Divide each side by '6'. r = -0.8333333333 Simplifying r = -0.8333333333Subproblem 2
Set the factor '(2 + 5r)' equal to zero and attempt to solve: Simplifying 2 + 5r = 0 Solving 2 + 5r = 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 + 5r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5r = 0 + -2 5r = 0 + -2 Combine like terms: 0 + -2 = -2 5r = -2 Divide each side by '5'. r = -0.4 Simplifying r = -0.4Solution
r = {-0.8333333333, -0.4}
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