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Simplifying lnx + -2[ln(x + -6) + ln(x + 6)] = 0 Reorder the terms: lnx + -2[ln(-6 + x) + ln(x + 6)] = 0 lnx + -2[(-6 * ln + x * ln) + ln(x + 6)] = 0 lnx + -2[(-6ln + lnx) + ln(x + 6)] = 0 Reorder the terms: lnx + -2[-6ln + lnx + ln(6 + x)] = 0 lnx + -2[-6ln + lnx + (6 * ln + x * ln)] = 0 lnx + -2[-6ln + lnx + (6ln + lnx)] = 0 Reorder the terms: lnx + -2[-6ln + 6ln + lnx + lnx] = 0 Combine like terms: -6ln + 6ln = 0 lnx + -2[0 + lnx + lnx] = 0 lnx + -2[lnx + lnx] = 0 Combine like terms: lnx + lnx = 2lnx lnx + -2[2lnx] = 0 Remove brackets around [2lnx] lnx + -2 * 2lnx = 0 Multiply -2 * 2 lnx + -4lnx = 0 Combine like terms: lnx + -4lnx = -3lnx -3lnx = 0 Solving -3lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '-3'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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