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Simplifying log(-1x + 10) = log(-4x + 3) Reorder the terms: glo(10 + -1x) = log(-4x + 3) (10 * glo + -1x * glo) = log(-4x + 3) (10glo + -1glox) = log(-4x + 3) Reorder the terms: 10glo + -1glox = glo(3 + -4x) 10glo + -1glox = (3 * glo + -4x * glo) 10glo + -1glox = (3glo + -4glox) Solving 10glo + -1glox = 3glo + -4glox 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. 10glo + -3glo + -1glox = 3glo + -3glo + -4glox Combine like terms: 10glo + -3glo = 7glo 7glo + -1glox = 3glo + -3glo + -4glox Combine like terms: 3glo + -3glo = 0 7glo + -1glox = 0 + -4glox 7glo + -1glox = -4glox Add '4glox' to each side of the equation. 7glo + -1glox + 4glox = -4glox + 4glox Combine like terms: -1glox + 4glox = 3glox 7glo + 3glox = -4glox + 4glox Combine like terms: -4glox + 4glox = 0 7glo + 3glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(7 + 3x) = 0Subproblem 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 '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Add '-3x' to each side of the equation. 3x + -3x = -7 + -3x Combine like terms: 3x + -3x = 0 0 = -7 + -3x Simplifying 0 = -7 + -3x 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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