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Simplifying Log(x + -10) + log(x + -2) = 0 Reorder the terms: goL(-10 + x) + log(x + -2) = 0 (-10 * goL + x * goL) + log(x + -2) = 0 (-10goL + goxL) + log(x + -2) = 0 Reorder the terms: -10goL + goxL + glo(-2 + x) = 0 -10goL + goxL + (-2 * glo + x * glo) = 0 -10goL + goxL + (-2glo + glox) = 0 Reorder the terms: -2glo + glox + -10goL + goxL = 0 Solving -2glo + glox + -10goL + 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(-2l + lx + -10L + 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 '(-2l + lx + -10L + xL)' equal to zero and attempt to solve: Simplifying -2l + lx + -10L + xL = 0 Reorder the terms: -10L + -2l + lx + xL = 0 Solving -10L + -2l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '10L' to each side of the equation. -10L + -2l + lx + 10L + xL = 0 + 10L Reorder the terms: -10L + 10L + -2l + lx + xL = 0 + 10L Combine like terms: -10L + 10L = 0 0 + -2l + lx + xL = 0 + 10L -2l + lx + xL = 0 + 10L Remove the zero: -2l + lx + xL = 10L Add '2l' to each side of the equation. -2l + lx + 2l + xL = 10L + 2l Reorder the terms: -2l + 2l + lx + xL = 10L + 2l Combine like terms: -2l + 2l = 0 0 + lx + xL = 10L + 2l lx + xL = 10L + 2l Add '-1lx' to each side of the equation. lx + -1lx + xL = 10L + 2l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = 10L + 2l + -1lx xL = 10L + 2l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = 10L + 2l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = 10L + 2l + -1lx + -1xL Simplifying 0 = 10L + 2l + -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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