2x^2-1.2x=0.64

Solution for 2x^2-1.2x=0.64 equation:

2x^2-1.2x=0.64

We move all terms to the left:

2x^2-1.2x-(0.64)=0

We add all the numbers together, and all the variables

2x^2-1.2x-0.64=0

a = 2; b = -1.2; c = -0.64;
Δ = b2-4ac
Δ = -1.22-4·2·(-0.64)
Δ = 6.56
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{-(-1.2)-\sqrt{6.56}}{2*2}=\frac{1.2-\sqrt{6.56}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.2)+\sqrt{6.56}}{2*2}=\frac{1.2+\sqrt{6.56}}{4}
$