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Simplifying log(8)(3y + -5) + 10 = 12 Reorder the terms: glo * 8(-5 + 3y) + 10 = 12 Reorder the terms for easier multiplication: 8glo(-5 + 3y) + 10 = 12 (-5 * 8glo + 3y * 8glo) + 10 = 12 (-40glo + 24gloy) + 10 = 12 Reorder the terms: 10 + -40glo + 24gloy = 12 Solving 10 + -40glo + 24gloy = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -40glo + -10 + 24gloy = 12 + -10 Reorder the terms: 10 + -10 + -40glo + 24gloy = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -40glo + 24gloy = 12 + -10 -40glo + 24gloy = 12 + -10 Combine like terms: 12 + -10 = 2 -40glo + 24gloy = 2 Reorder the terms: -2 + -40glo + 24gloy = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -40glo + 24gloy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -20glo + 12gloy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -20glo + 12gloy)' equal to zero and attempt to solve: Simplifying -1 + -20glo + 12gloy = 0 Solving -1 + -20glo + 12gloy = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -20glo + 1 + 12gloy = 0 + 1 Reorder the terms: -1 + 1 + -20glo + 12gloy = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -20glo + 12gloy = 0 + 1 -20glo + 12gloy = 0 + 1 Combine like terms: 0 + 1 = 1 -20glo + 12gloy = 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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