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