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Simplifying 3 + 5log(x2 + -3x) = 8 Reorder the terms: 3 + 5glo(-3x + x2) = 8 3 + (-3x * 5glo + x2 * 5glo) = 8 3 + (-15glox + 5glox2) = 8 Solving 3 + -15glox + 5glox2 = 8 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -15glox + -3 + 5glox2 = 8 + -3 Reorder the terms: 3 + -3 + -15glox + 5glox2 = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -15glox + 5glox2 = 8 + -3 -15glox + 5glox2 = 8 + -3 Combine like terms: 8 + -3 = 5 -15glox + 5glox2 = 5 Reorder the terms: -5 + -15glox + 5glox2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -15glox + 5glox2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-1 + -3glox + glox2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -3glox + glox2)' equal to zero and attempt to solve: Simplifying -1 + -3glox + glox2 = 0 Solving -1 + -3glox + glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3glox + 1 + glox2 = 0 + 1 Reorder the terms: -1 + 1 + -3glox + glox2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3glox + glox2 = 0 + 1 -3glox + glox2 = 0 + 1 Combine like terms: 0 + 1 = 1 -3glox + glox2 = 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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