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Simplifying Log(x + -5) + log(x + 2) = log(x + -14) Reorder the terms: goL(-5 + x) + log(x + 2) = log(x + -14) (-5 * goL + x * goL) + log(x + 2) = log(x + -14) (-5goL + goxL) + log(x + 2) = log(x + -14) Reorder the terms: -5goL + goxL + glo(2 + x) = log(x + -14) -5goL + goxL + (2 * glo + x * glo) = log(x + -14) -5goL + goxL + (2glo + glox) = log(x + -14) Reorder the terms: 2glo + glox + -5goL + goxL = log(x + -14) Reorder the terms: 2glo + glox + -5goL + goxL = glo(-14 + x) 2glo + glox + -5goL + goxL = (-14 * glo + x * glo) 2glo + glox + -5goL + goxL = (-14glo + glox) Add '-1glox' to each side of the equation. 2glo + glox + -5goL + -1glox + goxL = -14glo + glox + -1glox Reorder the terms: 2glo + glox + -1glox + -5goL + goxL = -14glo + glox + -1glox Combine like terms: glox + -1glox = 0 2glo + 0 + -5goL + goxL = -14glo + glox + -1glox 2glo + -5goL + goxL = -14glo + glox + -1glox Combine like terms: glox + -1glox = 0 2glo + -5goL + goxL = -14glo + 0 2glo + -5goL + goxL = -14glo Solving 2glo + -5goL + goxL = -14glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '14glo' to each side of the equation. 2glo + -5goL + 14glo + goxL = -14glo + 14glo Reorder the terms: 2glo + 14glo + -5goL + goxL = -14glo + 14glo Combine like terms: 2glo + 14glo = 16glo 16glo + -5goL + goxL = -14glo + 14glo Combine like terms: -14glo + 14glo = 0 16glo + -5goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(16l + -5L + xL) = 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 '(16l + -5L + xL)' equal to zero and attempt to solve: Simplifying 16l + -5L + xL = 0 Reorder the terms: -5L + 16l + xL = 0 Solving -5L + 16l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '5L' to each side of the equation. -5L + 16l + 5L + xL = 0 + 5L Reorder the terms: -5L + 5L + 16l + xL = 0 + 5L Combine like terms: -5L + 5L = 0 0 + 16l + xL = 0 + 5L 16l + xL = 0 + 5L Remove the zero: 16l + xL = 5L Add '-16l' to each side of the equation. 16l + -16l + xL = 5L + -16l Combine like terms: 16l + -16l = 0 0 + xL = 5L + -16l xL = 5L + -16l Add '-1xL' to each side of the equation. xL + -1xL = 5L + -16l + -1xL Combine like terms: xL + -1xL = 0 0 = 5L + -16l + -1xL Simplifying 0 = 5L + -16l + -1xL 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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