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`1)15/8-1/8:(x/4-0,5)=5/4 `
`=>1/8:(x/4-1/2)=5/8 `
`=>x/4-1/2=1/5 `
`=>x/4=1/5+1/2 `
`=>x/4=7/10 `
`=>x=(4.7)/10 `
`=>x=14/5 `
Vậy `x=14/5 `
`2)3/4+1/5:x=1/4 `
`=>1/5:x=-1/2 `
`=>x=1/5:(-1/2) `
`=>x=-2/5 `
Vậy `x=-2/5 `
`3)-2x-2/3(3/4-1/8x)=(-1/2)^3 `
`=>-2x-1/2+1/12x=-1/8 `
`=>-23/12x-1/2=-1/8 `
`=>-23/12x=(-1/8)+1/2 `
`=>-23/12x=3/8 `
`=>x=-9/46 `
Vậy `x=-9/46 `
`4)(3x+2)(5-x^2)=0 `
`TH1:3x+2=0 `
`=>3x=-2 `
`=>x=-2/3 `
`TH2:5-x^2=0 `
`=>x^2=5 `
`=>x=+- `$\sqrt{5}$
Vậy `x∈{-2/3; `$\sqrt{5}$`;- `$\sqrt{5}$`} `
`5)|x-1|-|2/3-3/4|=2 `
`=>|x-1|-|-1/12|=2 `
`=>|x-1|-1/12=2 `
`=>|x-1|=2+1/12 `
`=>|x-1|=25/12 `
`=>x-1=+-25/12 `
`TH1:x-1=25/12 `
`=>x=37/12 `
`TH2:x-1=-25/12 `
`=>x=-13/12 `
Vậy `x∈{37/12;-13/12} `
`6)|x-2/3|-2/5=1/3 `
`=>|x-2/3|=11/15 `
`=>x-2/3=+-11/15 `
`TH1:x-2/3=11/15 `
`=>x=7/5 `
`TH2:x-2/3=-11/15 `
`=>x=-1/15 `
Vậy `x∈{7/5;-1/15} `
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