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Simplifying -1x + -12x + -35 + -1log(x + 6) + -3 = 0 Reorder the terms: -1x + -12x + -35 + -1glo(6 + x) + -3 = 0 -1x + -12x + -35 + (6 * -1glo + x * -1glo) + -3 = 0 -1x + -12x + -35 + (-6glo + -1glox) + -3 = 0 Reorder the terms: -35 + -3 + -6glo + -1glox + -1x + -12x = 0 Combine like terms: -35 + -3 = -38 -38 + -6glo + -1glox + -1x + -12x = 0 Combine like terms: -1x + -12x = -13x -38 + -6glo + -1glox + -13x = 0 Solving -38 + -6glo + -1glox + -13x = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '38' to each side of the equation. -38 + -6glo + -1glox + 38 + -13x = 0 + 38 Reorder the terms: -38 + 38 + -6glo + -1glox + -13x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -6glo + -1glox + -13x = 0 + 38 -6glo + -1glox + -13x = 0 + 38 Combine like terms: 0 + 38 = 38 -6glo + -1glox + -13x = 38 Add '13x' to each side of the equation. -6glo + -1glox + -13x + 13x = 38 + 13x Combine like terms: -13x + 13x = 0 -6glo + -1glox + 0 = 38 + 13x -6glo + -1glox = 38 + 13x Reorder the terms: -38 + -6glo + -1glox + -13x = 38 + 13x + -38 + -13x Reorder the terms: -38 + -6glo + -1glox + -13x = 38 + -38 + 13x + -13x Combine like terms: 38 + -38 = 0 -38 + -6glo + -1glox + -13x = 0 + 13x + -13x -38 + -6glo + -1glox + -13x = 13x + -13x Combine like terms: 13x + -13x = 0 -38 + -6glo + -1glox + -13x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(38 + 6glo + glox + 13x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(38 + 6glo + glox + 13x)' equal to zero and attempt to solve: Simplifying 38 + 6glo + glox + 13x = 0 Solving 38 + 6glo + glox + 13x = 0 Move all terms containing g to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + 6glo + glox + -38 + 13x = 0 + -38 Reorder the terms: 38 + -38 + 6glo + glox + 13x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 6glo + glox + 13x = 0 + -38 6glo + glox + 13x = 0 + -38 Combine like terms: 0 + -38 = -38 6glo + glox + 13x = -38 Add '-13x' to each side of the equation. 6glo + glox + 13x + -13x = -38 + -13x Combine like terms: 13x + -13x = 0 6glo + glox + 0 = -38 + -13x 6glo + glox = -38 + -13x 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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