Question

016. Solve the equation: 2(x-3)^2 + 3(x-2)(2x-3) = 8(x+4)(x-4)-1​

Answer 1

Answer:

x = 5

Step-by-step explanation:

2(x - 3)² + 3(x - 2)(2x - 3) = 8(x + 4)(x - 4) - 1

2(x² - 6x + 9) + 3(2x² - 7x + 6) = 8(x² - 4²) - 1

2x² - 12x + 18 + 6x² - 21x + 18 - 8x² + 128 + 1 = 0

- 12x - 21x + 18 + 18 + 128 + 1 = 0

- 33x = - 165 ⇒ x = 5