Answer: x = 7 or -5
Explanation
Log₁₁(35 + 3x²) = Log₁₁(4x² - 2x)
⇒ 35 + 3x² = 4x² - 2x
4x² - 2x = 3x² + 35
By grouping th terms,
4x² - 3x² - 2x - 35 = 0
x² - 2x - 35 = 0
By factorization, we have
x² - 7x + 5x - 35 = 0
x(x-7) + 5(x-7) = 0
(x-7)(x+5) = 0
Either x-7 = 0 or x+5 = 0
∴ x = 7 or -5
