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Simplifying log(x2 + -4x + -32) + -1log(x2 + -16) = 0 Reorder the terms: glo(-32 + -4x + x2) + -1log(x2 + -16) = 0 (-32 * glo + -4x * glo + x2 * glo) + -1log(x2 + -16) = 0 (-32glo + -4glox + glox2) + -1log(x2 + -16) = 0 Reorder the terms: -32glo + -4glox + glox2 + -1glo(-16 + x2) = 0 -32glo + -4glox + glox2 + (-16 * -1glo + x2 * -1glo) = 0 -32glo + -4glox + glox2 + (16glo + -1glox2) = 0 Reorder the terms: -32glo + 16glo + -4glox + glox2 + -1glox2 = 0 Combine like terms: -32glo + 16glo = -16glo -16glo + -4glox + glox2 + -1glox2 = 0 Combine like terms: glox2 + -1glox2 = 0 -16glo + -4glox + 0 = 0 -16glo + -4glox = 0 Solving -16glo + -4glox = 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), '-4glo'. -4glo(4 + x) = 0 Ignore the factor -4.Subproblem 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -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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