6x2+35x=6

Solution for 6x2+35x=6 equation:

6x^2+35x=6

We move all terms to the left:

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

a = 6; b = 35; c = -6;
Δ = b2-4ac
Δ = 352-4·6·(-6)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-37}{2*6}=\frac{-72}{12}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+37}{2*6}=\frac{2}{12}
=1/6
$