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Simplifying lg(x2) = 2lg(-1x) Multiply gl * x2 glx2 = 2lg(-1x) Remove parenthesis around (-1x) glx2 = 2gl * -1x Reorder the terms for easier multiplication: glx2 = 2 * -1gl * x Multiply 2 * -1 glx2 = -2gl * x Multiply gl * x glx2 = -2glx Solving glx2 = -2glx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glx' to each side of the equation. 2glx + glx2 = -2glx + 2glx Combine like terms: -2glx + 2glx = 0 2glx + glx2 = 0 Factor out the Greatest Common Factor (GCF), 'glx'. glx(2 + x) = 0Subproblem 1
Set the factor 'glx' equal to zero and attempt to solve: Simplifying glx = 0 Solving glx = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glx = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -1x 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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