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Simplifying (7r + -3)(3r + -7) = 0 Reorder the terms: (-3 + 7r)(3r + -7) = 0 Reorder the terms: (-3 + 7r)(-7 + 3r) = 0 Multiply (-3 + 7r) * (-7 + 3r) (-3(-7 + 3r) + 7r * (-7 + 3r)) = 0 ((-7 * -3 + 3r * -3) + 7r * (-7 + 3r)) = 0 ((21 + -9r) + 7r * (-7 + 3r)) = 0 (21 + -9r + (-7 * 7r + 3r * 7r)) = 0 (21 + -9r + (-49r + 21r2)) = 0 Combine like terms: -9r + -49r = -58r (21 + -58r + 21r2) = 0 Solving 21 + -58r + 21r2 = 0 Solving for variable 'r'. Factor a trinomial. (3 + -7r)(7 + -3r) = 0Subproblem 1
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 = 0.4285714286Subproblem 2
Set the factor '(7 + -3r)' equal to zero and attempt to solve: Simplifying 7 + -3r = 0 Solving 7 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3r = 0 + -7 -3r = 0 + -7 Combine like terms: 0 + -7 = -7 -3r = -7 Divide each side by '-3'. r = 2.333333333 Simplifying r = 2.333333333Solution
r = {0.4285714286, 2.333333333}
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