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Simplifying x2 + -22x + 121 = 49 Reorder the terms: 121 + -22x + x2 = 49 Solving 121 + -22x + x2 = 49 Solving for variable 'x'. Reorder the terms: 121 + -49 + -22x + x2 = 49 + -49 Combine like terms: 121 + -49 = 72 72 + -22x + x2 = 49 + -49 Combine like terms: 49 + -49 = 0 72 + -22x + x2 = 0 Factor a trinomial. (4 + -1x)(18 + -1x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {4, 18}
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