36x2-21x=2

Solution for 36x2-21x=2 equation:

36x^2-21x=2

We move all terms to the left:

36x^2-21x-(2)=0

a = 36; b = -21; c = -2;
Δ = b2-4ac
Δ = -212-4·36·(-2)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-21)-27}{2*36}=\frac{-6}{72}
=-1/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+27}{2*36}=\frac{48}{72}
=2/3
$