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Simplifying x = x2 + -40x + 40 Reorder the terms: x = 40 + -40x + x2 Solving x = 40 + -40x + x2 Solving for variable 'x'. Reorder the terms: -40 + x + 40x + -1x2 = 40 + -40x + x2 + -40 + 40x + -1x2 Combine like terms: x + 40x = 41x -40 + 41x + -1x2 = 40 + -40x + x2 + -40 + 40x + -1x2 Reorder the terms: -40 + 41x + -1x2 = 40 + -40 + -40x + 40x + x2 + -1x2 Combine like terms: 40 + -40 = 0 -40 + 41x + -1x2 = 0 + -40x + 40x + x2 + -1x2 -40 + 41x + -1x2 = -40x + 40x + x2 + -1x2 Combine like terms: -40x + 40x = 0 -40 + 41x + -1x2 = 0 + x2 + -1x2 -40 + 41x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -40 + 41x + -1x2 = 0 Factor a trinomial. (-40 + x)(1 + -1x) = 0Subproblem 1
Set the factor '(-40 + x)' equal to zero and attempt to solve: Simplifying -40 + x = 0 Solving -40 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + x = 0 + 40 x = 0 + 40 Combine like terms: 0 + 40 = 40 x = 40 Simplifying x = 40Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {40, 1}
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