Write the equations of the second degree in the reduced form.

5-11x² = - 8x

4+3x = - x²+2

x (x + 2) = - 5

(2x-1) ² = 1

Move all to one side, make other side zero, and I like x^2 term to be positive

5-11x^2=-8x

add - 5+11x^2 to both sides

0=11x^2-8x-5

4+3x=-x^2+2

add x^2-2 to both sides

x^2+3x+4+2=0

x^2+3x+6=0

x (x+2) = - 5

add 5 to both sides

x (x+2) + 5=0

x^2+2x+5=0

(2x-1) ^2=1

expand

(2x-1) (2x-1) = 1

4x^2-2x-2x+1=1

minus 1 from both sides

4x^2-4x=0