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Simplifying log(x2 + -9) + -1log(x + -5) = log(2x + -1) Reorder the terms: glo(-9 + x2) + -1log(x + -5) = log(2x + -1) (-9 * glo + x2 * glo) + -1log(x + -5) = log(2x + -1) (-9glo + glox2) + -1log(x + -5) = log(2x + -1) Reorder the terms: -9glo + glox2 + -1glo(-5 + x) = log(2x + -1) -9glo + glox2 + (-5 * -1glo + x * -1glo) = log(2x + -1) -9glo + glox2 + (5glo + -1glox) = log(2x + -1) Reorder the terms: -9glo + 5glo + -1glox + glox2 = log(2x + -1) Combine like terms: -9glo + 5glo = -4glo -4glo + -1glox + glox2 = log(2x + -1) Reorder the terms: -4glo + -1glox + glox2 = glo(-1 + 2x) -4glo + -1glox + glox2 = (-1 * glo + 2x * glo) -4glo + -1glox + glox2 = (-1glo + 2glox) Solving -4glo + -1glox + glox2 = -1glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glo' to each side of the equation. -4glo + -1glox + glo + glox2 = -1glo + glo + 2glox Reorder the terms: -4glo + glo + -1glox + glox2 = -1glo + glo + 2glox Combine like terms: -4glo + glo = -3glo -3glo + -1glox + glox2 = -1glo + glo + 2glox Combine like terms: -1glo + glo = 0 -3glo + -1glox + glox2 = 0 + 2glox -3glo + -1glox + glox2 = 2glox Add '-2glox' to each side of the equation. -3glo + -1glox + -2glox + glox2 = 2glox + -2glox Combine like terms: -1glox + -2glox = -3glox -3glo + -3glox + glox2 = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -3glo + -3glox + glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-3 + -3x + x2) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-3 + -3x + x2)' equal to zero and attempt to solve: Simplifying -3 + -3x + x2 = 0 Solving -3 + -3x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3x + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + -3x + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3x + x2 = 0 + 3 -3x + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -3x + x2 = 3 Add '3x' to each side of the equation. -3x + 3x + x2 = 3 + 3x Combine like terms: -3x + 3x = 0 0 + x2 = 3 + 3x x2 = 3 + 3x Add '-1x2' to each side of the equation. x2 + -1x2 = 3 + 3x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 3 + 3x + -1x2 Simplifying 0 = 3 + 3x + -1x2 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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