0=-2.7x^2+13.5x+14

Solution for 0=-2.7x^2+13.5x+14 equation:

0=-2.7x^2+13.5x+14

We move all terms to the left:

0-(-2.7x^2+13.5x+14)=0

We add all the numbers together, and all the variables

-(-2.7x^2+13.5x+14)=0

We get rid of parentheses

2.7x^2-13.5x-14=0

a = 2.7; b = -13.5; c = -14;
Δ = b2-4ac
Δ = -13.52-4·2.7·(-14)
Δ = 333.45
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{-(-13.5)-\sqrt{333.45}}{2*2.7}=\frac{13.5-\sqrt{333.45}}{5.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13.5)+\sqrt{333.45}}{2*2.7}=\frac{13.5+\sqrt{333.45}}{5.4}
$