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Simplifying 44x = x2 + 22x + 121 Reorder the terms: 44x = 121 + 22x + x2 Solving 44x = 121 + 22x + x2 Solving for variable 'x'. Reorder the terms: -121 + 44x + -22x + -1x2 = 121 + 22x + x2 + -121 + -22x + -1x2 Combine like terms: 44x + -22x = 22x -121 + 22x + -1x2 = 121 + 22x + x2 + -121 + -22x + -1x2 Reorder the terms: -121 + 22x + -1x2 = 121 + -121 + 22x + -22x + x2 + -1x2 Combine like terms: 121 + -121 = 0 -121 + 22x + -1x2 = 0 + 22x + -22x + x2 + -1x2 -121 + 22x + -1x2 = 22x + -22x + x2 + -1x2 Combine like terms: 22x + -22x = 0 -121 + 22x + -1x2 = 0 + x2 + -1x2 -121 + 22x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -121 + 22x + -1x2 = 0 Factor a trinomial. (-11 + x)(11 + -1x) = 0Subproblem 1
Set the factor '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 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 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 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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