Respuesta :
minus 867 from both sides
4x³-864=0
undistribute 4
4(x³-216)=0
factor differnce of 2 perfect cubes
remember that a³-b³=(a-b)(a²+ab+b²)
so
(4)(x³-6³)=(4)(x-6)(x²+6x+36)=0
set each to 0
x-6=0
x=6
x²-6x+36=0
no real numbers will work for x
x=6
4x³-864=0
undistribute 4
4(x³-216)=0
factor differnce of 2 perfect cubes
remember that a³-b³=(a-b)(a²+ab+b²)
so
(4)(x³-6³)=(4)(x-6)(x²+6x+36)=0
set each to 0
x-6=0
x=6
x²-6x+36=0
no real numbers will work for x
x=6