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Simplifying r2 + -46r + 529 = 0 Reorder the terms: 529 + -46r + r2 = 0 Solving 529 + -46r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (23 + -1r)(23 + -1r) = 0Subproblem 1
Set the factor '(23 + -1r)' equal to zero and attempt to solve: Simplifying 23 + -1r = 0 Solving 23 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1r = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1r = 0 + -23 -1r = 0 + -23 Combine like terms: 0 + -23 = -23 -1r = -23 Divide each side by '-1'. r = 23 Simplifying r = 23Subproblem 2
Set the factor '(23 + -1r)' equal to zero and attempt to solve: Simplifying 23 + -1r = 0 Solving 23 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1r = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1r = 0 + -23 -1r = 0 + -23 Combine like terms: 0 + -23 = -23 -1r = -23 Divide each side by '-1'. r = 23 Simplifying r = 23Solution
r = {23, 23}
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