2x^2+36x=-34

Solution for 2x^2+36x=-34 equation:

2x^2+36x=-34

We move all terms to the left:

2x^2+36x-(-34)=0

We add all the numbers together, and all the variables

2x^2+36x+34=0

a = 2; b = 36; c = +34;
Δ = b2-4ac
Δ = 362-4·2·34
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-32}{2*2}=\frac{-68}{4}
=-17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+32}{2*2}=\frac{-4}{4}
=-1
$