Verified answer

(x - 5)(2x + 1) = 0

The other solution is 5.

2x²-9x-5 = (x-5)(2x+1)

x-5 = 0

x = 5

2x+1 = 0

2x = -1

x = -1/2

Solution: x = 5 or x = -1/2; x = 5 is the other solution

1

x = -1/2

2x = -1

2x + 1 = 0

(2x + 1) * (ax + b) = 2x^2 - 9x - 5

2ax^2 + ax + 2bx + b = 2x^2 - 9x - 5

2ax^2 = 2x^2

a = 1

ax + 2bx = -9x

a + 2b = -9

1 + 2b = -9

2b = -10

b = -5

(2x + 1) * (1x - 5)

(2x + 1) * (x - 5)

x - 5 = 0

x = 5