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Simplifying 7log(4x + 12) + -21 = 0 Reorder the terms: 7glo(12 + 4x) + -21 = 0 (12 * 7glo + 4x * 7glo) + -21 = 0 (84glo + 28glox) + -21 = 0 Reorder the terms: -21 + 84glo + 28glox = 0 Solving -21 + 84glo + 28glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 84glo + 21 + 28glox = 0 + 21 Reorder the terms: -21 + 21 + 84glo + 28glox = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 84glo + 28glox = 0 + 21 84glo + 28glox = 0 + 21 Combine like terms: 0 + 21 = 21 84glo + 28glox = 21 Reorder the terms: -21 + 84glo + 28glox = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 84glo + 28glox = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-3 + 12glo + 4glox) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-3 + 12glo + 4glox)' equal to zero and attempt to solve: Simplifying -3 + 12glo + 4glox = 0 Solving -3 + 12glo + 4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12glo + 3 + 4glox = 0 + 3 Reorder the terms: -3 + 3 + 12glo + 4glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12glo + 4glox = 0 + 3 12glo + 4glox = 0 + 3 Combine like terms: 0 + 3 = 3 12glo + 4glox = 3 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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