Bonjour !
a) x+3 + x-4 = 2x - 1
donc x+3 + x-4 = 0
=> 2x-1=0
=> 2x=1
=> x=1/2.
b) 2x²-5x = (2x-5)x
donc 2x²-5x = 0
=> (2x-5)x=0
=> 2x-5=0 ou x=0
=> x=0 ou x=5/2.
c) (x+1)(x-5) = 0
=> x+1=0 ou x-5=0
=> x=-1 ou x=5.
d) 4x² - 5 = 2x(3+2x)
=> 4x² - 5 = 6x + 4x²
=> -5 = 6x
=> x=-5/6.
e) (x+1)(x+2) = 2
=> x² +3x + 2 = 2
=> x² + 3x = 0
=> x(x+3) = 0
=> x=0 ou x+3=0
=> x=0 ou x=-3.
f) (3x-5)²=0
=> 3x-5=0 ou 3x-5=0
=> x=5/3.
N'hésite pas si tu as des questions :)