( 2x - 1 )^2 ( x+5 ) = ( 4x + 5 ) ( x + 1 )^2

( 4х^2 - 4x + 1) ( x + 5 ) = ( 4x + 5 ) ( x^2 + 2x + 1 )

4x^3 + 20x^2 - 4x^2 - 20x + x + 5 = 4x^3 + 8x^2 + 4x + 5x^2 + 10x + 5

4x^3 + 20x^2 - 4x^2 - 20x + x + 5 - 4x^3 - 8x^2 - 4x - 5x^2 - 10x - 5 = 0

Разные знаки, вычеркиваем

20x^2 - 4x^2 - 20x + x - 8x^2 - 4x - 5x^2 - 10x = 0

Складываем

3х^2 - 20x + x - 4x - 10x = 0

Складываем

3х^2 - 33х = 0

3х ( х - 11 ) = 0

1) 3х = 0 ; х = 0

2) х - 11 = 0 ; х = 11