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Simplifying -1925 = 280ln(x + 1) Reorder the terms: -1925 = 280ln(1 + x) -1925 = (1 * 280ln + x * 280ln) -1925 = (280ln + 280lnx) Solving -1925 = 280ln + 280lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-280ln' to each side of the equation. -1925 + -280ln = 280ln + -280ln + 280lnx Combine like terms: 280ln + -280ln = 0 -1925 + -280ln = 0 + 280lnx -1925 + -280ln = 280lnx Add '-280lnx' to each side of the equation. -1925 + -280ln + -280lnx = 280lnx + -280lnx Combine like terms: 280lnx + -280lnx = 0 -1925 + -280ln + -280lnx = 0 Add '1925' to each side of the equation. -1925 + -280ln + 1925 + -280lnx = 0 + 1925 Reorder the terms: -1925 + 1925 + -280ln + -280lnx = 0 + 1925 Combine like terms: -1925 + 1925 = 0 0 + -280ln + -280lnx = 0 + 1925 -280ln + -280lnx = 0 + 1925 Combine like terms: 0 + 1925 = 1925 -280ln + -280lnx = 1925 Reorder the terms: -1925 + -280ln + -280lnx = 1925 + -1925 Combine like terms: 1925 + -1925 = 0 -1925 + -280ln + -280lnx = 0 Factor out the Greatest Common Factor (GCF), '-35'. -35(55 + 8ln + 8lnx) = 0 Ignore the factor -35.Subproblem 1
Set the factor '(55 + 8ln + 8lnx)' equal to zero and attempt to solve: Simplifying 55 + 8ln + 8lnx = 0 Solving 55 + 8ln + 8lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + 8ln + -55 + 8lnx = 0 + -55 Reorder the terms: 55 + -55 + 8ln + 8lnx = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 8ln + 8lnx = 0 + -55 8ln + 8lnx = 0 + -55 Combine like terms: 0 + -55 = -55 8ln + 8lnx = -55 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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