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Simplifying 0.1111x = 2x + -1x2 Solving 0.1111x = 2x + -1x2 Solving for variable 'x'. Combine like terms: 0.1111x + -2x = -1.8889x -1.8889x + x2 = 2x + -1x2 + -2x + x2 Reorder the terms: -1.8889x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 -1.8889x + x2 = 0 + -1x2 + x2 -1.8889x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -1.8889x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1.8889 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1.8889 + x)' equal to zero and attempt to solve: Simplifying -1.8889 + x = 0 Solving -1.8889 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1.8889' to each side of the equation. -1.8889 + 1.8889 + x = 0 + 1.8889 Combine like terms: -1.8889 + 1.8889 = 0.0000 0.0000 + x = 0 + 1.8889 x = 0 + 1.8889 Combine like terms: 0 + 1.8889 = 1.8889 x = 1.8889 Simplifying x = 1.8889Solution
x = {0, 1.8889}
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