Question

solve: 5x^2-7x-24=0

Answer 1

is this the factoring method, complete the square or quadratic?

Answer 2

I would say use the quadratic formula.
Your equation is in ax^2 + bx + c = 0 form. (standard)
Input those values into the quadratic formula.
\[\huge x = \frac{ -b \pm \sqrt {b^2-4(a)(c)} }{ 2(a) }\]