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Simplifying x2 = 22x + -121 Reorder the terms: x2 = -121 + 22x Solving x2 = -121 + 22x Solving for variable 'x'. Reorder the terms: 121 + -22x + x2 = -121 + 22x + 121 + -22x Reorder the terms: 121 + -22x + x2 = -121 + 121 + 22x + -22x Combine like terms: -121 + 121 = 0 121 + -22x + x2 = 0 + 22x + -22x 121 + -22x + x2 = 22x + -22x Combine like terms: 22x + -22x = 0 121 + -22x + x2 = 0 Factor a trinomial. (11 + -1x)(11 + -1x) = 0Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {11, 11}
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