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x²-4 =0
(x-2)(x+2) =0

x-2 =0                     x+2 =0
x = 2                        x = -2

x(x-3)  +2(x-3) =0
(x-3)(x+2) =0

x-3 =0                             x+2 =0
x = 3                               x = -2

x²+5x =0
x(x+5) =0

x = 0                              x+ 5 =0
                                       x = -5

4x²-7x =0
x(4x-7) =0

x =0                                  4x-7 =0
                                         4x = 7
                                           x = 7/4



(4x+3)²-1 = 0
(4x+3-1)(4x+3+1) =0
(4x+2)(4x+4) =0

4x+2 =0                    4x+4 =0
4x = -2                        4x = -4
x = -2/4 = -1/2              x = -4/4 = -1


(2x+5)²-x² =0
(2x+5-x)(2x+5+x) =0
(x+5)(3x+5) =0


x+5 =0                              3x+5 =0
x = -5                                   3x = -5
                                             x = -5/3