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Simplifying Log(-4m + 2) = log(-1m + 5) Reorder the terms: goL(2 + -4m) = log(-1m + 5) (2 * goL + -4m * goL) = log(-1m + 5) Reorder the terms: (-4gmoL + 2goL) = log(-1m + 5) (-4gmoL + 2goL) = log(-1m + 5) Reorder the terms: -4gmoL + 2goL = glo(5 + -1m) -4gmoL + 2goL = (5 * glo + -1m * glo) Reorder the terms: -4gmoL + 2goL = (-1glmo + 5glo) -4gmoL + 2goL = (-1glmo + 5glo) Solving -4gmoL + 2goL = -1glmo + 5glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glmo' to each side of the equation. -4gmoL + glmo + 2goL = -1glmo + glmo + 5glo Reorder the terms: glmo + -4gmoL + 2goL = -1glmo + glmo + 5glo Combine like terms: -1glmo + glmo = 0 glmo + -4gmoL + 2goL = 0 + 5glo glmo + -4gmoL + 2goL = 5glo Add '-5glo' to each side of the equation. glmo + -4gmoL + -5glo + 2goL = 5glo + -5glo Reorder the terms: glmo + -5glo + -4gmoL + 2goL = 5glo + -5glo Combine like terms: 5glo + -5glo = 0 glmo + -5glo + -4gmoL + 2goL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(lm + -5l + -4mL + 2L) = 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 '(lm + -5l + -4mL + 2L)' equal to zero and attempt to solve: Simplifying lm + -5l + -4mL + 2L = 0 Reorder the terms: 2L + -5l + lm + -4mL = 0 Solving 2L + -5l + lm + -4mL = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -5l + lm + -2L + -4mL = 0 + -2L Reorder the terms: 2L + -2L + -5l + lm + -4mL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -5l + lm + -4mL = 0 + -2L -5l + lm + -4mL = 0 + -2L Remove the zero: -5l + lm + -4mL = -2L Add '5l' to each side of the equation. -5l + lm + 5l + -4mL = -2L + 5l Reorder the terms: -5l + 5l + lm + -4mL = -2L + 5l Combine like terms: -5l + 5l = 0 0 + lm + -4mL = -2L + 5l lm + -4mL = -2L + 5l Add '-1lm' to each side of the equation. lm + -1lm + -4mL = -2L + 5l + -1lm Combine like terms: lm + -1lm = 0 0 + -4mL = -2L + 5l + -1lm -4mL = -2L + 5l + -1lm Add '4mL' to each side of the equation. -4mL + 4mL = -2L + 5l + -1lm + 4mL Combine like terms: -4mL + 4mL = 0 0 = -2L + 5l + -1lm + 4mL Simplifying 0 = -2L + 5l + -1lm + 4mL 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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