6x+36x^2=42

Solution for 6x+36x^2=42 equation:

6x+36x^2=42

We move all terms to the left:

6x+36x^2-(42)=0

a = 36; b = 6; c = -42;
Δ = b2-4ac
Δ = 62-4·36·(-42)
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6084}=78$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-78}{2*36}=\frac{-84}{72}
=-1+1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+78}{2*36}=\frac{72}{72}
=1
$