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Simplifying 2 + -10ln(5x + -4) = 12 Reorder the terms: 2 + -10ln(-4 + 5x) = 12 2 + (-4 * -10ln + 5x * -10ln) = 12 2 + (40ln + -50lnx) = 12 Solving 2 + 40ln + -50lnx = 12 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 40ln + -2 + -50lnx = 12 + -2 Reorder the terms: 2 + -2 + 40ln + -50lnx = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 40ln + -50lnx = 12 + -2 40ln + -50lnx = 12 + -2 Combine like terms: 12 + -2 = 10 40ln + -50lnx = 10 Reorder the terms: -10 + 40ln + -50lnx = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 40ln + -50lnx = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-1 + 4ln + -5lnx) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-1 + 4ln + -5lnx)' equal to zero and attempt to solve: Simplifying -1 + 4ln + -5lnx = 0 Solving -1 + 4ln + -5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 4ln + 1 + -5lnx = 0 + 1 Reorder the terms: -1 + 1 + 4ln + -5lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4ln + -5lnx = 0 + 1 4ln + -5lnx = 0 + 1 Combine like terms: 0 + 1 = 1 4ln + -5lnx = 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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