6x^2+336=-90x

Solution for 6x^2+336=-90x equation:

6x^2+336=-90x

We move all terms to the left:

6x^2+336-(-90x)=0

We get rid of parentheses

6x^2+90x+336=0

a = 6; b = 90; c = +336;
Δ = b2-4ac
Δ = 902-4·6·336
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(90)-6}{2*6}=\frac{-96}{12}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(90)+6}{2*6}=\frac{-84}{12}
=-7
$