x^2+5x-24 = 0
+ 24 +24
x^2+5x=24
Then I know you square root both sides but that's when I get stuck, I'm thinking it would then be something like
x + ? = 2sqrt6
The answer is -5 so I just need help being taught how to do these last steps, unless I'm completely wrong in the beginning steps.

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Are you attempting to solve for x using the complete the square method?

I'm trying to get the sum of 2 solutions of the equation \[X^{2}+5x-24=0\]

you mean the product of two solutions, in other words you want to factorise the quadratic

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