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Simplifying 56r2 + 121r + 63 = 0 Reorder the terms: 63 + 121r + 56r2 = 0 Solving 63 + 121r + 56r2 = 0 Solving for variable 'r'. Factor a trinomial. (9 + 7r)(7 + 8r) = 0Subproblem 1
Set the factor '(9 + 7r)' equal to zero and attempt to solve: Simplifying 9 + 7r = 0 Solving 9 + 7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7r = 0 + -9 7r = 0 + -9 Combine like terms: 0 + -9 = -9 7r = -9 Divide each side by '7'. r = -1.285714286 Simplifying r = -1.285714286Subproblem 2
Set the factor '(7 + 8r)' equal to zero and attempt to solve: Simplifying 7 + 8r = 0 Solving 7 + 8r = 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 + 8r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8r = 0 + -7 8r = 0 + -7 Combine like terms: 0 + -7 = -7 8r = -7 Divide each side by '8'. r = -0.875 Simplifying r = -0.875Solution
r = {-1.285714286, -0.875}
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