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Simplifying 26 + -11x = 16 + -1x2 Solving 26 + -11x = 16 + -1x2 Solving for variable 'x'. Reorder the terms: 26 + -16 + -11x + x2 = 16 + -1x2 + -16 + x2 Combine like terms: 26 + -16 = 10 10 + -11x + x2 = 16 + -1x2 + -16 + x2 Reorder the terms: 10 + -11x + x2 = 16 + -16 + -1x2 + x2 Combine like terms: 16 + -16 = 0 10 + -11x + x2 = 0 + -1x2 + x2 10 + -11x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 10 + -11x + x2 = 0 Factor a trinomial. (1 + -1x)(10 + -1x) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {1, 10}
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