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Simplifying (-5r + -4)(-1r + -6) = 0 Reorder the terms: (-4 + -5r)(-1r + -6) = 0 Reorder the terms: (-4 + -5r)(-6 + -1r) = 0 Multiply (-4 + -5r) * (-6 + -1r) (-4(-6 + -1r) + -5r * (-6 + -1r)) = 0 ((-6 * -4 + -1r * -4) + -5r * (-6 + -1r)) = 0 ((24 + 4r) + -5r * (-6 + -1r)) = 0 (24 + 4r + (-6 * -5r + -1r * -5r)) = 0 (24 + 4r + (30r + 5r2)) = 0 Combine like terms: 4r + 30r = 34r (24 + 34r + 5r2) = 0 Solving 24 + 34r + 5r2 = 0 Solving for variable 'r'. Factor a trinomial. (6 + r)(4 + 5r) = 0Subproblem 1
Set the factor '(6 + r)' equal to zero and attempt to solve: Simplifying 6 + r = 0 Solving 6 + r = 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 + r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + r = 0 + -6 r = 0 + -6 Combine like terms: 0 + -6 = -6 r = -6 Simplifying r = -6Subproblem 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 = {-6, -0.8}
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