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Simplifying ln(2x + 5) + ln(x + -5) + -2ln(x) = 0 Reorder the terms: ln(5 + 2x) + ln(x + -5) + -2ln(x) = 0 (5 * ln + 2x * ln) + ln(x + -5) + -2ln(x) = 0 (5ln + 2lnx) + ln(x + -5) + -2ln(x) = 0 Reorder the terms: 5ln + 2lnx + ln(-5 + x) + -2ln(x) = 0 5ln + 2lnx + (-5 * ln + x * ln) + -2ln(x) = 0 5ln + 2lnx + (-5ln + lnx) + -2ln(x) = 0 Multiply ln * x 5ln + 2lnx + -5ln + lnx + -2lnx = 0 Reorder the terms: 5ln + -5ln + 2lnx + lnx + -2lnx = 0 Combine like terms: 5ln + -5ln = 0 0 + 2lnx + lnx + -2lnx = 0 2lnx + lnx + -2lnx = 0 Combine like terms: 2lnx + lnx = 3lnx 3lnx + -2lnx = 0 Combine like terms: 3lnx + -2lnx = 1lnx 1lnx = 0 Solving 1lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '1'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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