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Simplifying (7r + -3)(3r + 8) = 0 Reorder the terms: (-3 + 7r)(3r + 8) = 0 Reorder the terms: (-3 + 7r)(8 + 3r) = 0 Multiply (-3 + 7r) * (8 + 3r) (-3(8 + 3r) + 7r * (8 + 3r)) = 0 ((8 * -3 + 3r * -3) + 7r * (8 + 3r)) = 0 ((-24 + -9r) + 7r * (8 + 3r)) = 0 (-24 + -9r + (8 * 7r + 3r * 7r)) = 0 (-24 + -9r + (56r + 21r2)) = 0 Combine like terms: -9r + 56r = 47r (-24 + 47r + 21r2) = 0 Solving -24 + 47r + 21r2 = 0 Solving for variable 'r'. Factor a trinomial. (-8 + -3r)(3 + -7r) = 0Subproblem 1
Set the factor '(-8 + -3r)' equal to zero and attempt to solve: Simplifying -8 + -3r = 0 Solving -8 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3r = 0 + 8 -3r = 0 + 8 Combine like terms: 0 + 8 = 8 -3r = 8 Divide each side by '-3'. r = -2.666666667 Simplifying r = -2.666666667Subproblem 2
Set the factor '(3 + -7r)' equal to zero and attempt to solve: Simplifying 3 + -7r = 0 Solving 3 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7r = 0 + -3 -7r = 0 + -3 Combine like terms: 0 + -3 = -3 -7r = -3 Divide each side by '-7'. r = 0.4285714286 Simplifying r = 0.4285714286Solution
r = {-2.666666667, 0.4285714286}
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