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