36x^2-6=43

Solution for 36x^2-6=43 equation:

36x^2-6=43

We move all terms to the left:

36x^2-6-(43)=0

We add all the numbers together, and all the variables

36x^2-49=0

a = 36; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·36·(-49)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*36}=\frac{-84}{72}
=-1+1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*36}=\frac{84}{72}
=1+1/6
$