SOLUTION: On this problem I know what to do, I just do not know how to do it. I think I droped my brain somewhere and left it, cause this is something I should be able to do!! 10x^2-17x=63

Question 137956: On this problem I know what to do, I just do not know how to do it. I think I droped my brain somewhere and left it, cause this is something I should be able to do!!
10x^2-17x=63
Found 2 solutions by Earlsdon, solver91311:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Sorry to hear about your temporary loss of brain function.
It has been said "The brain is a marvelous organ. It starts working the minute you wake up and doesn't stop 'til you get to class"
Solve for x:
Subtract 63 from both sides.
Factor this quadratic equation.
Apply the zero product rule: If then either or or both.
or
If then
If then
Good luck on your recovery!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

First put the equation into standard form:

If this thing factors, the lead terms of the binomials must be 2x and 5x or x and 10x, and the constant terms of the binomials must be +9 and -7 or -9 and +7. A bit of trial and error gets you to

You should be able to take it from here using the Zero Product Rule: if and only if or .