0=x2+15x-34

Solution for 0=x2+15x-34 equation:

0=x2+15x-34

We move all terms to the left:

0-(x2+15x-34)=0

We add all the numbers together, and all the variables

-(+x^2+15x-34)+0=0

We add all the numbers together, and all the variables

-(+x^2+15x-34)=0

We get rid of parentheses

-x^2-15x+34=0

We add all the numbers together, and all the variables

-1x^2-15x+34=0

a = -1; b = -15; c = +34;
Δ = b2-4ac
Δ = -152-4·(-1)·34
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-19}{2*-1}=\frac{-4}{-2}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+19}{2*-1}=\frac{34}{-2}
=-17
$