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Simplifying log(2 + -1x)(3x + -1x2) = 0 Multiply (2 + -1x) * (3x + -1x2) glo(2(3x + -1x2) + -1x * (3x + -1x2)) = 0 glo((3x * 2 + -1x2 * 2) + -1x * (3x + -1x2)) = 0 glo((6x + -2x2) + -1x * (3x + -1x2)) = 0 glo(6x + -2x2 + (3x * -1x + -1x2 * -1x)) = 0 glo(6x + -2x2 + (-3x2 + 1x3)) = 0 Combine like terms: -2x2 + -3x2 = -5x2 glo(6x + -5x2 + 1x3) = 0 (6x * glo + -5x2 * glo + 1x3 * glo) = 0 (6glox + -5glox2 + 1glox3) = 0 Solving 6glox + -5glox2 + 1glox3 = 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), 'glox'. glox(6 + -5x + x2) = 0 Factor a trinomial. glox((2 + -1x)(3 + -1x)) = 0Subproblem 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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