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Simplifying log(x2 + x + -20) + -1log(x2 + -25) = 0 Reorder the terms: glo(-20 + x + x2) + -1log(x2 + -25) = 0 (-20 * glo + x * glo + x2 * glo) + -1log(x2 + -25) = 0 (-20glo + glox + glox2) + -1log(x2 + -25) = 0 Reorder the terms: -20glo + glox + glox2 + -1glo(-25 + x2) = 0 -20glo + glox + glox2 + (-25 * -1glo + x2 * -1glo) = 0 -20glo + glox + glox2 + (25glo + -1glox2) = 0 Reorder the terms: -20glo + 25glo + glox + glox2 + -1glox2 = 0 Combine like terms: -20glo + 25glo = 5glo 5glo + glox + glox2 + -1glox2 = 0 Combine like terms: glox2 + -1glox2 = 0 5glo + glox + 0 = 0 5glo + glox = 0 Solving 5glo + glox = 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), 'glo'. glo(5 + x) = 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Add '-1x' to each side of the equation. x + -1x = -5 + -1x Combine like terms: x + -1x = 0 0 = -5 + -1x Simplifying 0 = -5 + -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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