(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.
(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.