10x2+30=-35x

Solution for 10x2+30=-35x equation:

10x^2+30=-35x

We move all terms to the left:

10x^2+30-(-35x)=0

We get rid of parentheses

10x^2+35x+30=0

a = 10; b = 35; c = +30;
Δ = b2-4ac
Δ = 352-4·10·30
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-5}{2*10}=\frac{-40}{20}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+5}{2*10}=\frac{-30}{20}
=-1+1/2
$