3x^2-1.3x=0.1

Solution for 3x^2-1.3x=0.1 equation:

3x^2-1.3x=0.1

We move all terms to the left:

3x^2-1.3x-(0.1)=0

We add all the numbers together, and all the variables

3x^2-1.3x-0.1=0

a = 3; b = -1.3; c = -0.1;
Δ = b2-4ac
Δ = -1.32-4·3·(-0.1)
Δ = 2.89
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{-(-1.3)-\sqrt{2.89}}{2*3}=\frac{1.3-\sqrt{2.89}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.3)+\sqrt{2.89}}{2*3}=\frac{1.3+\sqrt{2.89}}{6}
$