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