Решите урaвнение. 1)(14x-1)×(2+x)=(2x-8)×(7x+1)2)(x+10)×(x-5)-(x-6)×(x+3)=16

Question

Решите урaвнение. 1)
(14x-1)×(2+x)=(2x-8)×(7x+1)
2)(x+10)×(x-5)-(x-6)×(x+3)=16

Answer 1

1) (14x - 1)(x + 2) = (2x - 8)(7x + 1)
14x^2 - x + 28x - 2 = 14x^2 - 56x + 2x - 8
27x - 2 = -54x - 8
81x = -6
x = -6/81 = -2/27

2) (x + 10)(x - 5) - (x - 6)(x + 3) = 16
x^2 + 10x - 5x - 50 - (x^2 - 6x + 3x - 18) - 16 = 0
x^2 + 5x - 50 - x^2 + 3x + 18 - 16 = 0
8x - 48 = 0
8x = 48
x = 48/8 = 6