Найдите корни уравнений. ​

1) (4x^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

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

16x^2-19x-13x^2-14x=0

3x^2-33x=0

3x(x-11)=0

x(x-11)=0

x-11=0

x=0

x1=0 x2=11

2) (x^3 - 15x^2+75x-125)(x-1)-49=(x^2-16x+64) (x^2-2)

x^4-x^3-15x^3+15x^2+75x^2-75x-125x+125-49=x^4-2x^2-16x^3+32x+64x^2-128

-x^3-15x^3+15x^2+75x^2-75x-125x+125-49= - 2x^2-16x^3+32x+64x^2-128

90x^2-200x+76-62x^2-32x+128=0

28x^2-232x+204=0

7x^2 - 7x-51x+51=0

7x(x-1)-51(x-1)=0

(x-1)(7x-51)=0

x-1=0

7x-51=0

x1=1 x2=51/7

3) 9(9x^2 - 24x+16)-9(4x^2 - 40x+10)=(5x^2 +30-14x-84)^2

81x^2 - 216x+144-36x^2 +360x-900=(5x^2 +16x-84)^2

45x^2 +144x-756-25x^4+584x^2 - 7056-160x^3+2688x=0

-(x-3)(x+6)(5x+31)(5x-14)=0

x1=-6,2 x2=-6 x3=2,8 x4=3

4) 3(4x^2 - 1)(5x+3)-8(4x^2 - 1)^2 =0

(4x^2 - 1)(3(5x+3)-8(4x^2 - 1))=0

(4x^2 - 1)(15x+9-32x^2 +8)=0

(4x^2 - 1)(15x+17-32x^2) =0

4x^2 - 1=0

15x+17-32x^2 =0

x1=-0,53125

x2=-0,5

x3=0,5

x4=1

Объяснение: