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Simplifying log(2x + -28) = log(4x + -10) Reorder the terms: glo(-28 + 2x) = log(4x + -10) (-28 * glo + 2x * glo) = log(4x + -10) (-28glo + 2glox) = log(4x + -10) Reorder the terms: -28glo + 2glox = glo(-10 + 4x) -28glo + 2glox = (-10 * glo + 4x * glo) -28glo + 2glox = (-10glo + 4glox) Solving -28glo + 2glox = -10glo + 4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '10glo' to each side of the equation. -28glo + 10glo + 2glox = -10glo + 10glo + 4glox Combine like terms: -28glo + 10glo = -18glo -18glo + 2glox = -10glo + 10glo + 4glox Combine like terms: -10glo + 10glo = 0 -18glo + 2glox = 0 + 4glox -18glo + 2glox = 4glox Add '-4glox' to each side of the equation. -18glo + 2glox + -4glox = 4glox + -4glox Combine like terms: 2glox + -4glox = -2glox -18glo + -2glox = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 -18glo + -2glox = 0 Factor out the Greatest Common Factor (GCF), '-2glo'. -2glo(9 + x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Add '-1x' to each side of the equation. x + -1x = -9 + -1x Combine like terms: x + -1x = 0 0 = -9 + -1x Simplifying 0 = -9 + -1x 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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