x2-2.4x=2.2

Solution for x2-2.4x=2.2 equation:

x2-2.4x=2.2

We move all terms to the left:

x2-2.4x-(2.2)=0

We add all the numbers together, and all the variables

x^2-2.4x-2.2=0

a = 1; b = -2.4; c = -2.2;
Δ = b2-4ac
Δ = -2.42-4·1·(-2.2)
Δ = 14.56
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{-(-2.4)-\sqrt{14.56}}{2*1}=\frac{2.4-\sqrt{14.56}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.4)+\sqrt{14.56}}{2*1}=\frac{2.4+\sqrt{14.56}}{2}
$