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Simplifying Logx + log(6x + 1) = 0 Reorder the terms: goxL + glo(1 + 6x) = 0 goxL + (1 * glo + 6x * glo) = 0 goxL + (1glo + 6glox) = 0 Reorder the terms: 1glo + 6glox + goxL = 0 Solving 1glo + 6glox + goxL = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'go'. go(l + 6lx + xL) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(l + 6lx + xL)' equal to zero and attempt to solve: Simplifying l + 6lx + xL = 0 Solving l + 6lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-1l' to each side of the equation. l + 6lx + -1l + xL = 0 + -1l Reorder the terms: l + -1l + 6lx + xL = 0 + -1l Combine like terms: l + -1l = 0 0 + 6lx + xL = 0 + -1l 6lx + xL = 0 + -1l Remove the zero: 6lx + xL = -1l Add '-6lx' to each side of the equation. 6lx + -6lx + xL = -1l + -6lx Combine like terms: 6lx + -6lx = 0 0 + xL = -1l + -6lx xL = -1l + -6lx Add '-1xL' to each side of the equation. xL + -1xL = -1l + -6lx + -1xL Combine like terms: xL + -1xL = 0 0 = -1l + -6lx + -1xL Simplifying 0 = -1l + -6lx + -1xL 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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