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Simplifying log(-2m + -3) = Log(1 + -1m) Reorder the terms: glo(-3 + -2m) = Log(1 + -1m) (-3 * glo + -2m * glo) = Log(1 + -1m) Reorder the terms: (-2glmo + -3glo) = Log(1 + -1m) (-2glmo + -3glo) = Log(1 + -1m) -2glmo + -3glo = (1 * goL + -1m * goL) Reorder the terms: -2glmo + -3glo = (-1gmoL + 1goL) -2glmo + -3glo = (-1gmoL + 1goL) Solving -2glmo + -3glo = -1gmoL + 1goL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'gmoL' to each side of the equation. -2glmo + -3glo + gmoL = -1gmoL + gmoL + 1goL Combine like terms: -1gmoL + gmoL = 0 -2glmo + -3glo + gmoL = 0 + 1goL -2glmo + -3glo + gmoL = 1goL Add '-1goL' to each side of the equation. -2glmo + -3glo + gmoL + -1goL = 1goL + -1goL Combine like terms: 1goL + -1goL = 0 -2glmo + -3glo + gmoL + -1goL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-2lm + -3l + mL + -1L) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-2lm + -3l + mL + -1L)' equal to zero and attempt to solve: Simplifying -2lm + -3l + mL + -1L = 0 Reorder the terms: -1L + -3l + -2lm + mL = 0 Solving -1L + -3l + -2lm + mL = 0 Move all terms containing g to the left, all other terms to the right. Add 'L' to each side of the equation. -1L + -3l + -2lm + L + mL = 0 + L Reorder the terms: -1L + L + -3l + -2lm + mL = 0 + L Combine like terms: -1L + L = 0 0 + -3l + -2lm + mL = 0 + L -3l + -2lm + mL = 0 + L Remove the zero: -3l + -2lm + mL = L Add '3l' to each side of the equation. -3l + -2lm + 3l + mL = L + 3l Reorder the terms: -3l + 3l + -2lm + mL = L + 3l Combine like terms: -3l + 3l = 0 0 + -2lm + mL = L + 3l -2lm + mL = L + 3l Add '2lm' to each side of the equation. -2lm + 2lm + mL = L + 3l + 2lm Combine like terms: -2lm + 2lm = 0 0 + mL = L + 3l + 2lm mL = L + 3l + 2lm Add '-1mL' to each side of the equation. mL + -1mL = L + 3l + 2lm + -1mL Combine like terms: mL + -1mL = 0 0 = L + 3l + 2lm + -1mL Simplifying 0 = L + 3l + 2lm + -1mL 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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