0=-3x^2+2.7x+3.8

Solution for 0=-3x^2+2.7x+3.8 equation:

0=-3x^2+2.7x+3.8

We move all terms to the left:

0-(-3x^2+2.7x+3.8)=0

We add all the numbers together, and all the variables

-(-3x^2+2.7x+3.8)=0

We get rid of parentheses

3x^2-2.7x-3.8=0

a = 3; b = -2.7; c = -3.8;
Δ = b2-4ac
Δ = -2.72-4·3·(-3.8)
Δ = 52.89
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{-(-2.7)-\sqrt{52.89}}{2*3}=\frac{2.7-\sqrt{52.89}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.7)+\sqrt{52.89}}{2*3}=\frac{2.7+\sqrt{52.89}}{6}
$