35x^2=-85x-30

Solution for 35x^2=-85x-30 equation:

35x^2=-85x-30

We move all terms to the left:

35x^2-(-85x-30)=0

We get rid of parentheses

35x^2+85x+30=0

a = 35; b = 85; c = +30;
Δ = b2-4ac
Δ = 852-4·35·30
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(85)-55}{2*35}=\frac{-140}{70}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(85)+55}{2*35}=\frac{-30}{70}
=-3/7
$