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Simplifying 2(x + -2) = 2lnx Reorder the terms: 2(-2 + x) = 2lnx (-2 * 2 + x * 2) = 2lnx (-4 + 2x) = 2lnx Solving -4 + 2x = 2lnx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2lnx' to each side of the equation. -4 + -2lnx + 2x = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -4 + -2lnx + 2x = 0 Add '4' to each side of the equation. -4 + -2lnx + 4 + 2x = 0 + 4 Reorder the terms: -4 + 4 + -2lnx + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2lnx + 2x = 0 + 4 -2lnx + 2x = 0 + 4 Combine like terms: 0 + 4 = 4 -2lnx + 2x = 4 Reorder the terms: -4 + -2lnx + 2x = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -2lnx + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -1lnx + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1lnx + x)' equal to zero and attempt to solve: Simplifying -2 + -1lnx + x = 0 Solving -2 + -1lnx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1lnx + 2 + x = 0 + 2 Reorder the terms: -2 + 2 + -1lnx + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1lnx + x = 0 + 2 -1lnx + x = 0 + 2 Combine like terms: 0 + 2 = 2 -1lnx + x = 2 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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