`a. 3x + 2(5 - x) = 0`
`<=> 3x + 10 - 2x = 0`
`<=> x + 10 =0`
`<=> x = -10`
`b. x(x - 2) + x - 2 = 0`
`<=> x(x - 2) +1(x - 2) = 0`
`<=> (x + 1)(x - 2)=0`
`<=> x + 1 = 0`
`x - 2 = 0`
`<=> x = -1`
`x = 2`
`c. 4x(x - 2) - 4x^2 - 6x = 10`
`<=> 4x^2 - 8x - 4x^2 - 6x =10`
`<=> -14x = 10`
`<=> x = - 10/14`
`<=> x = - 5/7`
`d. (x - 3)^2 - (x + 5)^2 = 0`
`<=>(x - 3 - x - 5)(x - 3 + x +5) = 0`
`<=> -8(2x + 2) =0`
`<=> 2x + 2 =0`
`<=> 2x = -2`
`<=> x = -1`