1.2x2+2x=6.6

Solution for 1.2x2+2x=6.6 equation:

1.2x^2+2x=6.6

We move all terms to the left:

1.2x^2+2x-(6.6)=0

We add all the numbers together, and all the variables

1.2x^2+2x-6.6=0

a = 1.2; b = 2; c = -6.6;
Δ = b2-4ac
Δ = 22-4·1.2·(-6.6)
Δ = 35.68
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-\sqrt{35.68}}{2*1.2}=\frac{-2-\sqrt{35.68}}{2.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+\sqrt{35.68}}{2*1.2}=\frac{-2+\sqrt{35.68}}{2.4}
$