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Simplifying x * Lx = 2 Multiply x * xL x2L = 2 Solving x2L = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by 'L'. x2 = 2L-1 Simplifying x2 = 2L-1 Reorder the terms: -2L-1 + x2 = 2L-1 + -2L-1 Combine like terms: 2L-1 + -2L-1 = 0 -2L-1 + x2 = 0 Factor out the Greatest Common Factor (GCF), 'L-1'. L-1(-2 + x2L) = 0Subproblem 1
Set the factor 'L-1' equal to zero and attempt to solve: Simplifying L-1 = 0 Solving L-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1L-1' to each side of the equation. L-1 + -1L-1 = 0 + -1L-1 Remove the zero: 0 = -1L-1 Simplifying 0 = -1L-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + x2L)' equal to zero and attempt to solve: Simplifying -2 + x2L = 0 Solving -2 + x2L = 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 + x2L = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2L = 0 + 2 x2L = 0 + 2 Combine like terms: 0 + 2 = 2 x2L = 2 Divide each side by 'L'. x2 = 2L-1 Simplifying x2 = 2L-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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