`a)x^2+6x=-9`
`<=>x^2+6x+9=0`
`<=>(x+3)^2=0`
`<=>x+3=0`
`<=>x=-3`
Vậy `x=-3`
`b)2x^2-9=0`
`<=>2x^2=9`
`<=>x^2=9/2`
`<=>x=+-\sqrt{\frac{9}{2}}`
`<=>x=+-3/(\sqrt{2})`
Vậy `x\in{+-3/(\sqrt{2})}`
`c)8x^3-12x^2+6x=1`
`<=>(2x)^3-3.(2x)^2.1+3.2x.1-1^3=0`
`<=>(2x-1)^3=0`
`<=>2x-1=0`
`<=>2x=1`
`<=>x=1/2`
Vậy `x=1/2`
`d)2x+1^2-3x+2^2 =0`
`<=>-x+1+4=0`
`<=>-x=-5`
`<=>x=5`
Vậy `x=5`