x^2-3.4x=0.0038=0

Solution for x^2-3.4x=0.0038=0 equation:

x^2-3.4x=0.0038=0

We move all terms to the left:

x^2-3.4x-(0.0038)=0

We add all the numbers together, and all the variables

x^2-3.4x-0.0038=0

a = 1; b = -3.4; c = -0.0038;
Δ = b2-4ac
Δ = -3.42-4·1·(-0.0038)
Δ = 11.5752
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{-(-3.4)-\sqrt{11.5752}}{2*1}=\frac{3.4-\sqrt{11.5752}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.4)+\sqrt{11.5752}}{2*1}=\frac{3.4+\sqrt{11.5752}}{2}
$