a) To solve the equation (x + 4/9)(x - 11/5) = 0, we can set each factor equal to zero and solve for x:

x + 4/9 = 0 or x - 11/5 = 0

For the first equation, subtract 4/9 from both sides:

x = -4/9

For the second equation, add 11/5 to both sides:

x = 11/5

Therefore, the solutions to the equation are x = -4/9 and x = 11/5.

b) To solve the equation (x - 2/7)(x + 3/4) = 0, we can set each factor equal to zero and solve for x:

x - 2/7 = 0 or x + 3/4 = 0

For the first equation, add 2/7 to both sides:

x = 2/7

For the second equation, subtract 3/4 from both sides:

x = -3/4

Therefore, the solutions to the equation are x = 2/7 and x = -3/4.

c) To solve the equation (1/3 - x)(2x + 2/5) = 0, we can set each factor equal to zero and solve for x:

1/3 - x = 0 or 2x + 2/5 = 0

For the first equation, subtract 1/3 from both sides:

-x = -1/3

Multiply both sides by -1 to solve for x:

x = 1/3

For the second equation, subtract 2/5 from both sides:

2x = -2/5

Divide both sides by 2 to solve for x:

x = -1/5

Therefore, the solutions to the equation are x = 1/3 and x = -1/5.

d) To solve the equation (2x + 5/3)(5/4 - x) = 0, we can set each factor equal to zero and solve for x:

2x + 5/3 = 0 or 5/4 - x = 0

For the first equation, subtract 5/3 from both sides:

2x = -5/3

Divide both sides by 2 to solve for x:

x = -5/6

For the second equation, subtract 5/4 from both sides:

-x = -5/4

Multiply both sides by -1 to solve for x:

x = 5/4

Therefore, the solutions to the equation are x = -5/6 and x = 5/4.