`a, (x-6)(x^2-4)=0`
`⇔`[x−6=0x2−4=0 `⇔` [x=6x=±2
`b, (2x+5)(4x^2-9)=0`
`⇔` [2x+5=04x2−9=0 `⇔` ⎣⎢⎡x=2−5x=±23
`c, (x-2)^2 . (x-9)=0`
`⇔`[(x−2)2=0x−9=0 `⇔`[x=2x=9
`d, x^2 = 2x`
`⇔ x^2 - 2x = 0`
`⇔ x(x -2)=0`
`⇔` [x=0x−2=0 `⇔` [x=0x=2
`e, x^2 - 2x + 1 = 4`
`⇔ (x+1)^2 - 4 = 0`
`⇔ (x + 1 - 2)(x + 1 + 2) =0`
`⇔ (x-1)(x+3)=0`
`⇔` [x−1=0x+3=0 `⇔` [x=1x=−3
`f, (x^2 + 1)(x - 1)=0`
`⇔` [x2+1=0x−1=0 `⇔` [x2=−1(loại)x=1
`g, 4x^2 + 4x + 1 = 0`
`⇔ (2x + 1)^2 = 0`
`⇔ 2x + 1 = 0`
`⇔ x = -1/2`
`h, x^2 - 5x + 6 = 0`
`⇔ x^2 - 3x - 2x + 6 = 0`
`⇔ x(x - 3) - 2(x-3) = 0`
`⇔ (x-2)(x-3)=0`
`⇔` [x−2=0x−3=0 `⇔` [x=2x=3
`i, 2x^2 + 3x + 1 =0`
`⇔ 2x^2 + x + 2x + 1 = 0`
`⇔ 2x(x+1) + x +1 =0`
`⇔(2x+1)(x+1)=0`
`⇔` [2x+1=0x+1=0 `⇔` [x=2−1x=−1
`j, (2x-3)(x+1)+x(x-2)=3(x+2)^2`
`⇔ 2x^2 +2x-3x-3+x^2-2x-3(x^2+4x+4)=0`
`⇔2x^2 + 2x - 3x - 3 + x^2 - 2x - 3x^2 - 12x - 12=0`
`⇔-15x - 15 = 0`
`⇔x = -1`