Can you help me answer this question?

Question

1. Find the two errors in the work shown below. Explain the errors and then enter the correct solutions, showing the correct steps. (10 points)

1. 6x³ - 7x² - 3x = 0
2. x(6x² - 7x - 3) = 0
3. x(6x² - 9x + 2x - 3) = 0
4. x[3x(2x - 3) + 1(2x - 3)] = 0
5. x(3x + 1)(2x - 3) = 0
6. 3x + 1 = 0, 2x - 3 = 0
7. 3x = -1, 2x = 3
8. x = -1/3, 2/3

2. Solve by factoring 6x³ - 16x² - 32x = 0. Enter your work. (10 points)

3. Solve by factoring 9x² - 25 = 0. Enter your work. (10 points)

Answer 1

6x^3 -7x^2 -3x =0

step 6&7&8 should also have included x=0

step 8 should have had x=3/2, not 2/3

x=-1/3, 0, 3/2

6x^3 -16x^2 -32x=0

2x(3x^2 -8x -16)=0

2x(3x+4)(x-4)=0

2x=0, 3x+4=0, x-4=0

x=0, x=-4/3, x= 4

x= -4/3, 0, 4

9x^2-25 =0

(3x-5)(3x+5)=0

3x-5=0, 3x+5=0

x=5/3, x=-5/3

x = -5/3, 5/3