12x2+11x=5

Solution for 12x2+11x=5 equation:

12x^2+11x=5

We move all terms to the left:

12x^2+11x-(5)=0

a = 12; b = 11; c = -5;
Δ = b2-4ac
Δ = 112-4·12·(-5)
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-19}{2*12}=\frac{-30}{24}
=-1+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+19}{2*12}=\frac{8}{24}
=1/3
$