Question

Решите уравнение (5x-2)(5x+2)=(x+6)(x-4)+24x^2

Answer 1

25х²-х²+4х-6х-25х²=-24+4
-2х=-20
х=10

Answer 2

$(5x - 2)(5x + 2) = (x + 6)(x - 4) + 24 {x}^{2} \\ 25 {x}^{2} + 10x - 10x - 4 = {x}^{2} - 4x + 6x - 24 + 24 {x}^{2} \\ 25 {x}^{2} - {x}^{2} + 4x - 6x - 24 {x }^{2} = - 24 + 4 \\ - 2x = - 20 \\ x = - 20 \div ( - 2) \\ x = 10$