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Simplifying x2log(2) * x + -5xlog(2) * x + 6log(2) * x = 0 Reorder the terms for easier multiplication: 2glox2 * x + -5xlog(2) * x + 6log(2) * x = 0 Multiply glox2 * x 2glox3 + -5xlog(2) * x + 6log(2) * x = 0 Reorder the terms for easier multiplication: 2glox3 + -5 * 2glox * x + 6log(2) * x = 0 Multiply -5 * 2 2glox3 + -10glox * x + 6log(2) * x = 0 Multiply glox * x 2glox3 + -10glox2 + 6log(2) * x = 0 Reorder the terms for easier multiplication: 2glox3 + -10glox2 + 6 * 2glo * x = 0 Multiply 6 * 2 2glox3 + -10glox2 + 12glo * x = 0 Multiply glo * x 2glox3 + -10glox2 + 12glox = 0 Reorder the terms: 12glox + -10glox2 + 2glox3 = 0 Solving 12glox + -10glox2 + 2glox3 = 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), '2glox'. 2glox(6 + -5x + x2) = 0 Factor a trinomial. 2glox((2 + -1x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'glox' equal to zero and attempt to solve: Simplifying glox = 0 Solving glox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glox = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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