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Simplifying (2r + -5)(2r + -5) = 0 Reorder the terms: (-5 + 2r)(2r + -5) = 0 Reorder the terms: (-5 + 2r)(-5 + 2r) = 0 Multiply (-5 + 2r) * (-5 + 2r) (-5(-5 + 2r) + 2r * (-5 + 2r)) = 0 ((-5 * -5 + 2r * -5) + 2r * (-5 + 2r)) = 0 ((25 + -10r) + 2r * (-5 + 2r)) = 0 (25 + -10r + (-5 * 2r + 2r * 2r)) = 0 (25 + -10r + (-10r + 4r2)) = 0 Combine like terms: -10r + -10r = -20r (25 + -20r + 4r2) = 0 Solving 25 + -20r + 4r2 = 0 Solving for variable 'r'. Factor a trinomial. (5 + -2r)(5 + -2r) = 0Subproblem 1
Set the factor '(5 + -2r)' equal to zero and attempt to solve: Simplifying 5 + -2r = 0 Solving 5 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2r = 0 + -5 -2r = 0 + -5 Combine like terms: 0 + -5 = -5 -2r = -5 Divide each side by '-2'. r = 2.5 Simplifying r = 2.5Subproblem 2
Set the factor '(5 + -2r)' equal to zero and attempt to solve: Simplifying 5 + -2r = 0 Solving 5 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2r = 0 + -5 -2r = 0 + -5 Combine like terms: 0 + -5 = -5 -2r = -5 Divide each side by '-2'. r = 2.5 Simplifying r = 2.5Solution
r = {2.5, 2.5}
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