`a)`
`36x^2-12x+1=0`
`⇔(6x)^2-2.6.x+1=0`
`⇔(6x-1)^2=0`
`⇔6x-1=0`
`⇔6x=1`
`⇔x=1/6`
`b)`
`16x^2+24x+9=0`
`⇔(4x)^2+4.3.2x+3^2=0`
`⇔(4x+3)^2=0`
`⇔4x+3=0`
`⇔4x=-3`
`⇔x=-3/4`
`c)`
`(5x-2)^2-(3x+1)^2=0`
`⇔(5x-2-3x-1)(5x-2+3x+1)=0`
`⇔(2x-3)(8x-1)=0`
`⇔`\(\left[ \begin{array}{l}2x-3=0\\8x-1=0\end{array} \right.\)
`⇔`\(\left[ \begin{array}{l}x=3/2\\x=1/8\end{array} \right.\)
`d)`
`(6x-3)^2=(2-4x)^2`
`⇔(6x-3)^2-(2-4x)^2=0`
`⇔(6x-3-2+4x)(6x-3+2-4x)=0`
`⇔(10x-5)(2x-1)=0`
`⇔5(2x-1)^2=0`
`⇔2x-1=0`
`⇔x=1/2`
`e)`
`(x+2)^2-2(x+1)(x-1)+(x-3)^2=0`
`⇔x^2+4x+4-2x^2+2+x^2-6x+9=0`
`⇔-2x+15=0`
⇔x=-(15)/2`
`f)`
`(2x-1)^2-4(x+1)(x-1)=10`
`⇔4x^2-4x+1-4x^2+4-10=0`
`⇔-4x-5=0`
`⇔4x+5=0`
`⇔x=-5/4`
