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Simplifying lg(12) = lg(x) + lg(6) Reorder the terms for easier multiplication: 12gl = lg(x) + lg(6) Multiply gl * x 12gl = glx + lg(6) Reorder the terms for easier multiplication: 12gl = glx + 6gl Reorder the terms: 12gl = 6gl + glx Solving 12gl = 6gl + glx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6gl' to each side of the equation. 12gl + -6gl = 6gl + -6gl + glx Combine like terms: 12gl + -6gl = 6gl 6gl = 6gl + -6gl + glx Combine like terms: 6gl + -6gl = 0 6gl = 0 + glx 6gl = glx Add '-1glx' to each side of the equation. 6gl + -1glx = glx + -1glx Combine like terms: glx + -1glx = 0 6gl + -1glx = 0 Factor out the Greatest Common Factor (GCF), 'gl'. gl(6 + -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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Add 'x' to each side of the equation. -1x + x = -6 + x Combine like terms: -1x + x = 0 0 = -6 + x Simplifying 0 = -6 + 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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