solvefor x,6x(x^2+4x-2)-2x(3x^2+8)=8x(3x-4)-4(3x-8)

解答

求解

x, 6 x (x^{2} + 4 x - 2) - 2 x (3 x^{2} + 8) = 8 x (3 x - 4) - 4 (3 x - 8)

x = 2

求解步骤

6 x (x^{2} + 4 x - 2) - 2 x (3 x^{2} + 8) = 8 x (3 x - 4) - 4 (3 x - 8)

乘开

8 x (3 x - 4) : 24 x^{2} - 32 x

24 x^{2} - 28 x = 24 x^{2} - 32 x - 4 (3 x - 8)

乘开

- 4 (3 x - 8) : - 12 x + 32

24 x^{2} - 28 x = 24 x^{2} - 32 x - 12 x + 32

s im pl i f y (2 x^{4})^{5}

so l v e f or r, v = \frac{4}{3} p i r^{3}

e x p an d (5 r - 4) (r^{2} - 6 r + 4)

s im pl i f y 45 - 320

f a c t or x^{2} + 8