-35x=6x^2

Solution for -35x=6x^2 equation:

-35x=6x^2

We move all terms to the left:

-35x-(6x^2)=0

determiningTheFunctionDomain
-6x^2-35x=0

a = -6; b = -35; c = 0;
Δ = b2-4ac
Δ = -352-4·(-6)·0
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-35}{2*-6}=\frac{0}{-12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+35}{2*-6}=\frac{70}{-12}
=-5+5/6
$