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Simplifying 3log[5](x + -1) + -2log[5] * 4 = 0 Reorder the terms: 3glo * 5(-1 + x) + -2log[5] * 4 = 0 Reorder the terms for easier multiplication: 3 * 5glo(-1 + x) + -2log[5] * 4 = 0 Multiply 3 * 5 15glo(-1 + x) + -2log[5] * 4 = 0 (-1 * 15glo + x * 15glo) + -2log[5] * 4 = 0 (-15glo + 15glox) + -2log[5] * 4 = 0 Reorder the terms for easier multiplication: -15glo + 15glox + -2 * 5 * 4glo = 0 Multiply -2 * 5 -15glo + 15glox + -10 * 4glo = 0 Multiply -10 * 4 -15glo + 15glox + -40glo = 0 Reorder the terms: -15glo + -40glo + 15glox = 0 Combine like terms: -15glo + -40glo = -55glo -55glo + 15glox = 0 Solving -55glo + 15glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-11 + 3x) = 0 Ignore the factor 5.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 '(-11 + 3x)' equal to zero and attempt to solve: Simplifying -11 + 3x = 0 Solving -11 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 0 + 11 3x = 0 + 11 Combine like terms: 0 + 11 = 11 3x = 11 Add '-3x' to each side of the equation. 3x + -3x = 11 + -3x Combine like terms: 3x + -3x = 0 0 = 11 + -3x Simplifying 0 = 11 + -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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