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Simplifying 4r(r + 7) = -49 Reorder the terms: 4r(7 + r) = -49 (7 * 4r + r * 4r) = -49 (28r + 4r2) = -49 Solving 28r + 4r2 = -49 Solving for variable 'r'. Reorder the terms: 49 + 28r + 4r2 = -49 + 49 Combine like terms: -49 + 49 = 0 49 + 28r + 4r2 = 0 Factor a trinomial. (7 + 2r)(7 + 2r) = 0Subproblem 1
Set the factor '(7 + 2r)' equal to zero and attempt to solve: Simplifying 7 + 2r = 0 Solving 7 + 2r = 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 + 2r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2r = 0 + -7 2r = 0 + -7 Combine like terms: 0 + -7 = -7 2r = -7 Divide each side by '2'. r = -3.5 Simplifying r = -3.5Subproblem 2
Set the factor '(7 + 2r)' equal to zero and attempt to solve: Simplifying 7 + 2r = 0 Solving 7 + 2r = 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 + 2r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2r = 0 + -7 2r = 0 + -7 Combine like terms: 0 + -7 = -7 2r = -7 Divide each side by '2'. r = -3.5 Simplifying r = -3.5Solution
r = {-3.5, -3.5}
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