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Simplifying 2lgx + -1lg(5x + 60) + -1 = 0 Reorder the terms: 2glx + -1gl(60 + 5x) + -1 = 0 2glx + (60 * -1gl + 5x * -1gl) + -1 = 0 2glx + (-60gl + -5glx) + -1 = 0 Reorder the terms: -1 + -60gl + 2glx + -5glx = 0 Combine like terms: 2glx + -5glx = -3glx -1 + -60gl + -3glx = 0 Solving -1 + -60gl + -3glx = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -60gl + 1 + -3glx = 0 + 1 Reorder the terms: -1 + 1 + -60gl + -3glx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -60gl + -3glx = 0 + 1 -60gl + -3glx = 0 + 1 Combine like terms: 0 + 1 = 1 -60gl + -3glx = 1 Reorder the terms: -1 + -60gl + -3glx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -60gl + -3glx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 60gl + 3glx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 60gl + 3glx)' equal to zero and attempt to solve: Simplifying 1 + 60gl + 3glx = 0 Solving 1 + 60gl + 3glx = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 60gl + -1 + 3glx = 0 + -1 Reorder the terms: 1 + -1 + 60gl + 3glx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 60gl + 3glx = 0 + -1 60gl + 3glx = 0 + -1 Combine like terms: 0 + -1 = -1 60gl + 3glx = -1 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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