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Simplifying lgx = lg(9x + -20) Reorder the terms: glx = gl(-20 + 9x) glx = (-20 * gl + 9x * gl) glx = (-20gl + 9glx) Solving glx = -20gl + 9glx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '20gl' to each side of the equation. 20gl + glx = -20gl + 20gl + 9glx Combine like terms: -20gl + 20gl = 0 20gl + glx = 0 + 9glx 20gl + glx = 9glx Add '-9glx' to each side of the equation. 20gl + glx + -9glx = 9glx + -9glx Combine like terms: glx + -9glx = -8glx 20gl + -8glx = 9glx + -9glx Combine like terms: 9glx + -9glx = 0 20gl + -8glx = 0 Factor out the Greatest Common Factor (GCF), '4gl'. 4gl(5 + -2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'gl' equal to zero and attempt to solve: Simplifying gl = 0 Solving gl = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gl = 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 '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Add '2x' to each side of the equation. -2x + 2x = -5 + 2x Combine like terms: -2x + 2x = 0 0 = -5 + 2x Simplifying 0 = -5 + 2x 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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