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Simplifying lg(x + -8) = 2 + -1lgx Reorder the terms: gl(-8 + x) = 2 + -1lgx (-8 * gl + x * gl) = 2 + -1lgx (-8gl + glx) = 2 + -1lgx Solving -8gl + glx = 2 + -1glx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glx' to each side of the equation. -8gl + glx + glx = 2 + -1glx + glx Combine like terms: glx + glx = 2glx -8gl + 2glx = 2 + -1glx + glx Combine like terms: -1glx + glx = 0 -8gl + 2glx = 2 + 0 -8gl + 2glx = 2 Reorder the terms: -2 + -8gl + 2glx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -8gl + 2glx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -4gl + glx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -4gl + glx)' equal to zero and attempt to solve: Simplifying -1 + -4gl + glx = 0 Solving -1 + -4gl + glx = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -4gl + 1 + glx = 0 + 1 Reorder the terms: -1 + 1 + -4gl + glx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4gl + glx = 0 + 1 -4gl + glx = 0 + 1 Combine like terms: 0 + 1 = 1 -4gl + glx = 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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