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Simplifying (7 + 2r)(7 + 2r) = 0 Multiply (7 + 2r) * (7 + 2r) (7(7 + 2r) + 2r * (7 + 2r)) = 0 ((7 * 7 + 2r * 7) + 2r * (7 + 2r)) = 0 ((49 + 14r) + 2r * (7 + 2r)) = 0 (49 + 14r + (7 * 2r + 2r * 2r)) = 0 (49 + 14r + (14r + 4r2)) = 0 Combine like terms: 14r + 14r = 28r (49 + 28r + 4r2) = 0 Solving 49 + 28r + 4r2 = 0 Solving for variable 'r'. 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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