x^2+5,4x=3,6

Solution for x^2+5,4x=3,6 equation:

x^2+5.4x=3.6

We move all terms to the left:

x^2+5.4x-(3.6)=0

We add all the numbers together, and all the variables

x^2+5.4x-3.6=0

a = 1; b = 5.4; c = -3.6;
Δ = b2-4ac
Δ = 5.42-4·1·(-3.6)
Δ = 43.56
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{-(5.4)-\sqrt{43.56}}{2*1}=\frac{-5.4-\sqrt{43.56}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.4)+\sqrt{43.56}}{2*1}=\frac{-5.4+\sqrt{43.56}}{2}
$