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Simplifying log(2x + -1) + log(5x + 2) = 0 Reorder the terms: glo(-1 + 2x) + log(5x + 2) = 0 (-1 * glo + 2x * glo) + log(5x + 2) = 0 (-1glo + 2glox) + log(5x + 2) = 0 Reorder the terms: -1glo + 2glox + glo(2 + 5x) = 0 -1glo + 2glox + (2 * glo + 5x * glo) = 0 -1glo + 2glox + (2glo + 5glox) = 0 Reorder the terms: -1glo + 2glo + 2glox + 5glox = 0 Combine like terms: -1glo + 2glo = 1glo 1glo + 2glox + 5glox = 0 Combine like terms: 2glox + 5glox = 7glox 1glo + 7glox = 0 Solving 1glo + 7glox = 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(1 + 7x) = 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 '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Add '-7x' to each side of the equation. 7x + -7x = -1 + -7x Combine like terms: 7x + -7x = 0 0 = -1 + -7x Simplifying 0 = -1 + -7x 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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