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Simplifying 6log[4] * x + -5xlog[4] * x + 20x = 24 Reorder the terms for easier multiplication: 6 * 4glo * x + -5xlog[4] * x + 20x = 24 Multiply 6 * 4 24glo * x + -5xlog[4] * x + 20x = 24 Multiply glo * x 24glox + -5xlog[4] * x + 20x = 24 Reorder the terms for easier multiplication: 24glox + -5 * 4glox * x + 20x = 24 Multiply -5 * 4 24glox + -20glox * x + 20x = 24 Multiply glox * x 24glox + -20glox2 + 20x = 24 Solving 24glox + -20glox2 + 20x = 24 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-20x' to each side of the equation. 24glox + -20glox2 + 20x + -20x = 24 + -20x Combine like terms: 20x + -20x = 0 24glox + -20glox2 + 0 = 24 + -20x 24glox + -20glox2 = 24 + -20x Reorder the terms: -24 + 24glox + -20glox2 + 20x = 24 + -20x + -24 + 20x Reorder the terms: -24 + 24glox + -20glox2 + 20x = 24 + -24 + -20x + 20x Combine like terms: 24 + -24 = 0 -24 + 24glox + -20glox2 + 20x = 0 + -20x + 20x -24 + 24glox + -20glox2 + 20x = -20x + 20x Combine like terms: -20x + 20x = 0 -24 + 24glox + -20glox2 + 20x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + 6glox + -5glox2 + 5x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + 6glox + -5glox2 + 5x)' equal to zero and attempt to solve: Simplifying -6 + 6glox + -5glox2 + 5x = 0 Solving -6 + 6glox + -5glox2 + 5x = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6glox + -5glox2 + 6 + 5x = 0 + 6 Reorder the terms: -6 + 6 + 6glox + -5glox2 + 5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6glox + -5glox2 + 5x = 0 + 6 6glox + -5glox2 + 5x = 0 + 6 Combine like terms: 0 + 6 = 6 6glox + -5glox2 + 5x = 6 Add '-5x' to each side of the equation. 6glox + -5glox2 + 5x + -5x = 6 + -5x Combine like terms: 5x + -5x = 0 6glox + -5glox2 + 0 = 6 + -5x 6glox + -5glox2 = 6 + -5x 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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