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Simplifying 0 = x2 + -13x + 22 Reorder the terms: 0 = 22 + -13x + x2 Solving 0 = 22 + -13x + x2 Solving for variable 'x'. Combine like terms: 0 + -22 = -22 -22 + 13x + -1x2 = 22 + -13x + x2 + -22 + 13x + -1x2 Reorder the terms: -22 + 13x + -1x2 = 22 + -22 + -13x + 13x + x2 + -1x2 Combine like terms: 22 + -22 = 0 -22 + 13x + -1x2 = 0 + -13x + 13x + x2 + -1x2 -22 + 13x + -1x2 = -13x + 13x + x2 + -1x2 Combine like terms: -13x + 13x = 0 -22 + 13x + -1x2 = 0 + x2 + -1x2 -22 + 13x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -22 + 13x + -1x2 = 0 Factor a trinomial. (-11 + x)(2 + -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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {11, 2}
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