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Simplifying log[4](2x + -6) + 2 = 0 Reorder the terms: glo * 4(-6 + 2x) + 2 = 0 Reorder the terms for easier multiplication: 4glo(-6 + 2x) + 2 = 0 (-6 * 4glo + 2x * 4glo) + 2 = 0 (-24glo + 8glox) + 2 = 0 Reorder the terms: 2 + -24glo + 8glox = 0 Solving 2 + -24glo + 8glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -24glo + -2 + 8glox = 0 + -2 Reorder the terms: 2 + -2 + -24glo + 8glox = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -24glo + 8glox = 0 + -2 -24glo + 8glox = 0 + -2 Combine like terms: 0 + -2 = -2 -24glo + 8glox = -2 Reorder the terms: 2 + -24glo + 8glox = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -24glo + 8glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -12glo + 4glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -12glo + 4glox)' equal to zero and attempt to solve: Simplifying 1 + -12glo + 4glox = 0 Solving 1 + -12glo + 4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -12glo + -1 + 4glox = 0 + -1 Reorder the terms: 1 + -1 + -12glo + 4glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12glo + 4glox = 0 + -1 -12glo + 4glox = 0 + -1 Combine like terms: 0 + -1 = -1 -12glo + 4glox = -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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