a) 2(5x-8)-3(4x-5)=4(3x-4)+11
10x-16-12x+15 =12x-5
-2x-1 =12x-5
-14x =4
x =-2/7
b) 3(2x-1)-5(x-3)+6(3x-4)=24
6x-3-5x+15+18x-24 =24
19x-12 =24
19x =36
x =36/19
c) 3x(x+1)-2x(x+2)=-1-x
3x^2+3x-2x^2-4x=-1-x
x^2-x =-1-x
x^2-x+x =-1
x ^2 =-1
x =+- \(\sqrt{ }\)1
d) 2x(6x-2x^2)+3x^2(x-4)=8
12x^2-4x^3+3x^3-12x^2=8
-x^3 =8
x =-2
a. 2(5x - 8) - 3(4x - 5) = 4(3x - 4) + 11
<=> 10x - 16 - 12x + 15 = 12x - 16 + 11
<=> -16 + 15 + 16 - 11 = 12x + 12x - 10x
<=> 14x = 4
<=> x = \(\dfrac{4}{14}\)
b. 3(2x - 1) - 5(x - 3) + 6(3x - 4) = 24
<=> 6x - 3 - 5x + 15 + 18 - 24 = 24
<=> 6x - 5x = 24 + 24 + 3 - 15 - 18
<=> x = 18
c. 3x(x + 1) - 2x(x + 2) = -1 - x
<=> 3x2 + 3x - 2x2 - 4x = -1 - x
<=> 3x2 - 2x2 + 3x - 4x + x + 1 = 0
<=> x2 + 1 = 0
<=> x2 = -1 (Vô lí)
Vậy nghiệm của PT là \(S=\varnothing\)
d. 2x(6x - 2x2) + 3x2(x - 4) = 8
<=> 12x2 - 4x3 + 3x3 - 12x2 = 8
<=> 12x2 - 12x2 - 4x3 + 3x3 = 8
<=> -x3 = 8
<=> x3 = -8
<=> x3 + 8 = 0
<=> x3 + 23 = 0
<=> (x + 2)(x2 - 2x + 4) = 0
<=> \(\left[{}\begin{matrix}x+2=0\\x^2-2x+4=0\left(Vlí\right)\end{matrix}\right.\Leftrightarrow x=-2\)
e) 2(x^3-1)-2x^2(x+2x^4)+(4x^5+4)x=6
2x^3-2-x^3-4x^6+4x^6+4x=6
4x-2 =6
4x =8
x =2
f) (2x)^2(4x-2)-(x^3-8x^2)=15
16x^3-8x^2-x^3+8x^2=15
15x^3 =15
x^3 =1
x =1


