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Simplifying 0 = 2log4(x + 3) + -2 Reorder the terms: 0 = 2g4lo(3 + x) + -2 0 = (3 * 2g4lo + x * 2g4lo) + -2 0 = (6g4lo + 2g4lox) + -2 Reorder the terms: 0 = -2 + 6g4lo + 2g4lox Solving 0 = -2 + 6g4lo + 2g4lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g4lo' to each side of the equation. 0 + -6g4lo = -2 + 6g4lo + -6g4lo + 2g4lox Remove the zero: -6g4lo = -2 + 6g4lo + -6g4lo + 2g4lox Combine like terms: 6g4lo + -6g4lo = 0 -6g4lo = -2 + 0 + 2g4lox -6g4lo = -2 + 2g4lox Add '-2g4lox' to each side of the equation. -6g4lo + -2g4lox = -2 + 2g4lox + -2g4lox Combine like terms: 2g4lox + -2g4lox = 0 -6g4lo + -2g4lox = -2 + 0 -6g4lo + -2g4lox = -2 Reorder the terms: 2 + -6g4lo + -2g4lox = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -6g4lo + -2g4lox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -3g4lo + -1g4lox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -3g4lo + -1g4lox)' equal to zero and attempt to solve: Simplifying 1 + -3g4lo + -1g4lox = 0 Solving 1 + -3g4lo + -1g4lox = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3g4lo + -1 + -1g4lox = 0 + -1 Reorder the terms: 1 + -1 + -3g4lo + -1g4lox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3g4lo + -1g4lox = 0 + -1 -3g4lo + -1g4lox = 0 + -1 Combine like terms: 0 + -1 = -1 -3g4lo + -1g4lox = -1 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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