SOLUTION: solve for x 5x^2=-14x-8 Do I have to subtract 5x^2 from both sides giving me 0=-5x^2-14x-8? Then what do I do?

Question 490229: solve for x
5x^2=-14x-8
Do I have to subtract 5x^2 from both sides giving me 0=-5x^2-14x-8?
Then what do I do?
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
5x^2=-14x-8
---
5x^2+14x+8 = 0
Factor:
5x^2+10x+4x+8 = 0
5x(x+2)+4(x+2) = 0
(x+2)(5x+4) = 0
---
x = -2 or x = -4/5
======================
Cheers,
Stan H.
===================
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

you can do this : and than use quadratic formula to solve for
since you dealing with negative signs in this case, I suggest you do it this way: move both terms from the right to the left side

....now use quadratic formula to solve for

...note , and

solutions:

or

let's check it on a graph:

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