# Thread: Find all real solutions to x

1. ## Find all real solutions to x

2. Originally Posted by tmac11522
what have you done so far?

3. i multiplied both sides of the equation by (2x+5)(x+4), simplified and got it down to 0=3x^2+10x+35 and i'm stuck

4. Originally Posted by tmac11522
i multiplied both sides of the equation by (2x+5)(x+4), simplified and got it down to 0=3x^2+10x+35 and i'm stuck
now use quadratic formula....

5. Originally Posted by tmac11522
i multiplied both sides of the equation by (2x+5)(x+4), simplified and got it down to 0=3x^2+10x+35 and i'm stuck
Recall that a quadratic of the form:

$ax^2 + bx + c = 0$

Can be solved by using this equation:

$
x = \frac{-b \pm \sqrt {b^2 - 4ac}}{2a}$