Complete the square 2x^2-3x-5=0

2 (x-3/4) ^2 - 49/8 = 0

Step-by-step explanation:

2x^2 - 3x - 5 = 0

First take out the 2: 2 [x^2 - 3/2x - 5/2] = 0

Now complete the square inside the square brackets: 2 [ (x-3/4) ^2 - 9/16 - 5/2] = 0

Simplify inside the square brackets: 2 [ (x-3/4) ^2 - 49/16] = 0

Now times out the square brackets: 2 (x-3/4) ^2 - 49/8 = 0

And we're done!