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Simplifying Lg(x + 6) = 2lgx Reorder the terms: gL(6 + x) = 2lgx (6 * gL + x * gL) = 2lgx (6gL + gxL) = 2lgx Solving 6gL + gxL = 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. 6gL + -2glx + gxL = 2glx + -2glx Combine like terms: 2glx + -2glx = 0 6gL + -2glx + gxL = 0 Factor out the Greatest Common Factor (GCF), 'g'. g(6L + -2lx + xL) = 0Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(6L + -2lx + xL)' equal to zero and attempt to solve: Simplifying 6L + -2lx + xL = 0 Solving 6L + -2lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-6L' to each side of the equation. 6L + -2lx + -6L + xL = 0 + -6L Reorder the terms: 6L + -6L + -2lx + xL = 0 + -6L Combine like terms: 6L + -6L = 0 0 + -2lx + xL = 0 + -6L -2lx + xL = 0 + -6L Remove the zero: -2lx + xL = -6L Add '2lx' to each side of the equation. -2lx + 2lx + xL = -6L + 2lx Combine like terms: -2lx + 2lx = 0 0 + xL = -6L + 2lx xL = -6L + 2lx Add '-1xL' to each side of the equation. xL + -1xL = -6L + 2lx + -1xL Combine like terms: xL + -1xL = 0 0 = -6L + 2lx + -1xL Simplifying 0 = -6L + 2lx + -1xL The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
g = {0}
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