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Simplifying log * 2(2x + -4) = 2 + log * 2(x2 + -6) Reorder the terms: glo * 2(-4 + 2x) = 2 + log * 2(x2 + -6) Reorder the terms for easier multiplication: 2glo(-4 + 2x) = 2 + log * 2(x2 + -6) (-4 * 2glo + 2x * 2glo) = 2 + log * 2(x2 + -6) (-8glo + 4glox) = 2 + log * 2(x2 + -6) Reorder the terms: -8glo + 4glox = 2 + glo * 2(-6 + x2) Reorder the terms for easier multiplication: -8glo + 4glox = 2 + 2glo(-6 + x2) -8glo + 4glox = 2 + (-6 * 2glo + x2 * 2glo) -8glo + 4glox = 2 + (-12glo + 2glox2) Solving -8glo + 4glox = 2 + -12glo + 2glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '12glo' to each side of the equation. -8glo + 12glo + 4glox = 2 + -12glo + 12glo + 2glox2 Combine like terms: -8glo + 12glo = 4glo 4glo + 4glox = 2 + -12glo + 12glo + 2glox2 Combine like terms: -12glo + 12glo = 0 4glo + 4glox = 2 + 0 + 2glox2 4glo + 4glox = 2 + 2glox2 Add '-2glox2' to each side of the equation. 4glo + 4glox + -2glox2 = 2 + 2glox2 + -2glox2 Combine like terms: 2glox2 + -2glox2 = 0 4glo + 4glox + -2glox2 = 2 + 0 4glo + 4glox + -2glox2 = 2 Reorder the terms: -2 + 4glo + 4glox + -2glox2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 4glo + 4glox + -2glox2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 2glo + 2glox + -1glox2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 2glo + 2glox + -1glox2)' equal to zero and attempt to solve: Simplifying -1 + 2glo + 2glox + -1glox2 = 0 Solving -1 + 2glo + 2glox + -1glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2glo + 2glox + 1 + -1glox2 = 0 + 1 Reorder the terms: -1 + 1 + 2glo + 2glox + -1glox2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2glo + 2glox + -1glox2 = 0 + 1 2glo + 2glox + -1glox2 = 0 + 1 Combine like terms: 0 + 1 = 1 2glo + 2glox + -1glox2 = 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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