0,9x^2+1,8x=2,7

Solution for 0,9x^2+1,8x=2,7 equation:

0.9x^2+1.8x=2.7

We move all terms to the left:

0.9x^2+1.8x-(2.7)=0

We add all the numbers together, and all the variables

0.9x^2+1.8x-2.7=0

a = 0.9; b = 1.8; c = -2.7;
Δ = b2-4ac
Δ = 1.82-4·0.9·(-2.7)
Δ = 12.96
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{-(1.8)-\sqrt{12.96}}{2*0.9}=\frac{-1.8-\sqrt{12.96}}{1.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.8)+\sqrt{12.96}}{2*0.9}=\frac{-1.8+\sqrt{12.96}}{1.8}
$