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Simplifying Log(6x2 + -6) = log(3x + 3) Reorder the terms: goL(-6 + 6x2) = log(3x + 3) (-6 * goL + 6x2 * goL) = log(3x + 3) (-6goL + 6gox2L) = log(3x + 3) Reorder the terms: -6goL + 6gox2L = glo(3 + 3x) -6goL + 6gox2L = (3 * glo + 3x * glo) -6goL + 6gox2L = (3glo + 3glox) Solving -6goL + 6gox2L = 3glo + 3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glo' to each side of the equation. -6goL + -3glo + 6gox2L = 3glo + -3glo + 3glox Reorder the terms: -3glo + -6goL + 6gox2L = 3glo + -3glo + 3glox Combine like terms: 3glo + -3glo = 0 -3glo + -6goL + 6gox2L = 0 + 3glox -3glo + -6goL + 6gox2L = 3glox Add '-3glox' to each side of the equation. -3glo + -6goL + -3glox + 6gox2L = 3glox + -3glox Reorder the terms: -3glo + -3glox + -6goL + 6gox2L = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 -3glo + -3glox + -6goL + 6gox2L = 0 Factor out the Greatest Common Factor (GCF), '3go'. 3go(-1l + -1lx + -2L + 2x2L) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-1l + -1lx + -2L + 2x2L)' equal to zero and attempt to solve: Simplifying -1l + -1lx + -2L + 2x2L = 0 Reorder the terms: -2L + -1l + -1lx + 2x2L = 0 Solving -2L + -1l + -1lx + 2x2L = 0 Move all terms containing g to the left, all other terms to the right. Add '2L' to each side of the equation. -2L + -1l + -1lx + 2L + 2x2L = 0 + 2L Reorder the terms: -2L + 2L + -1l + -1lx + 2x2L = 0 + 2L Combine like terms: -2L + 2L = 0 0 + -1l + -1lx + 2x2L = 0 + 2L -1l + -1lx + 2x2L = 0 + 2L Remove the zero: -1l + -1lx + 2x2L = 2L Add 'l' to each side of the equation. -1l + -1lx + l + 2x2L = 2L + l Reorder the terms: -1l + l + -1lx + 2x2L = 2L + l Combine like terms: -1l + l = 0 0 + -1lx + 2x2L = 2L + l -1lx + 2x2L = 2L + l Add 'lx' to each side of the equation. -1lx + lx + 2x2L = 2L + l + lx Combine like terms: -1lx + lx = 0 0 + 2x2L = 2L + l + lx 2x2L = 2L + l + lx Add '-2x2L' to each side of the equation. 2x2L + -2x2L = 2L + l + lx + -2x2L Combine like terms: 2x2L + -2x2L = 0 0 = 2L + l + lx + -2x2L Simplifying 0 = 2L + l + lx + -2x2L 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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