Решите уравнение

(2x+5)^2=(2x-3)^2

(2х+5)²=(2х-3)²

32+16=0.

32+16-16=0-16;

32=16

32х/32=-16/32 = -1/2

Expanding both sides of the equation:

(2x+5)^2 = (2x-3)^2

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

4x^2 + 20x + 25 = 4x^2 - 12x + 9

4x^2 - 4x^2 + 20x + 12x = 9 - 25

32x = -16

x = -1/2

Therefore, the solution to the equation (2x+5)^2 = (2x-3)^2 is x = -1/2.