√3x²-√2x=√2x²-√6x

√3x²-√2x=√2x²-√6x
√3x²-√2x=√2x²-√6x

√3x²-√2x=√2x²-√6x
√3x²-√2x=√2x²-√6x
√3x²-√2x²=√2x-√6x
(√3-√2)x²=(√2-√6)x
(√3-√2)x²-(√2-√6)x=0
x[(√3-√2)x-(√2-√6)]=0
x=0或(√3-√2)x-(√2-√6)=0
x=0或x=(√2-√6)/(√3-√2)
x=(√2-√6)(√3+√2)/(√3-√2)(√3+√2)
x=(√2-√6)(√3+√2)
x=√2+2-3√2+2√3
x=2-2√2+2√3
综上x=0或x=2-2√2+2√3

x=0是其中一个解
两边都除以x
得√3x-√2=√2x-√6
x=(√2-√6)/(√3-√2)
这是另一个解

x=0 x=√6-3√2-2√3x+2