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Simplifying lg(x + 1) + -2lg(x + -1) = 0 Reorder the terms: gl(1 + x) + -2lg(x + -1) = 0 (1 * gl + x * gl) + -2lg(x + -1) = 0 (1gl + glx) + -2lg(x + -1) = 0 Reorder the terms: 1gl + glx + -2gl(-1 + x) = 0 1gl + glx + (-1 * -2gl + x * -2gl) = 0 1gl + glx + (2gl + -2glx) = 0 Reorder the terms: 1gl + 2gl + glx + -2glx = 0 Combine like terms: 1gl + 2gl = 3gl 3gl + glx + -2glx = 0 Combine like terms: glx + -2glx = -1glx 3gl + -1glx = 0 Solving 3gl + -1glx = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'gl'. gl(3 + -1x) = 0Subproblem 1
Set the factor 'gl' equal to zero and attempt to solve: Simplifying gl = 0 Solving gl = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gl = 0 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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