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Simplifying log(x2 + -6x) + -1log(14x) = 0 Reorder the terms: glo(-6x + x2) + -1log(14x) = 0 (-6x * glo + x2 * glo) + -1log(14x) = 0 (-6glox + glox2) + -1log(14x) = 0 Remove parenthesis around (14x) -6glox + glox2 + -1glo * 14x = 0 Reorder the terms for easier multiplication: -6glox + glox2 + -1 * 14glo * x = 0 Multiply -1 * 14 -6glox + glox2 + -14glo * x = 0 Multiply glo * x -6glox + glox2 + -14glox = 0 Reorder the terms: -6glox + -14glox + glox2 = 0 Combine like terms: -6glox + -14glox = -20glox -20glox + glox2 = 0 Solving -20glox + glox2 = 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), 'glox'. glox(-20 + x) = 0Subproblem 1
Set the factor 'glox' equal to zero and attempt to solve: Simplifying glox = 0 Solving glox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glox = 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 '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Add '-1x' to each side of the equation. x + -1x = 20 + -1x Combine like terms: x + -1x = 0 0 = 20 + -1x Simplifying 0 = 20 + -1x 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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