0=-2.3x+6.8x^2

Solution for 0=-2.3x+6.8x^2 equation:

0=-2.3x+6.8x^2

We move all terms to the left:

0-(-2.3x+6.8x^2)=0

We add all the numbers together, and all the variables

-(-2.3x+6.8x^2)=0

We get rid of parentheses

-6.8x^2+2.3x=0

a = -6.8; b = 2.3; c = 0;
Δ = b2-4ac
Δ = 2.32-4·(-6.8)·0
Δ = 5.29
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{-(2.3)-\sqrt{5.29}}{2*-6.8}=\frac{-2.3-\sqrt{5.29}}{-13.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.3)+\sqrt{5.29}}{2*-6.8}=\frac{-2.3+\sqrt{5.29}}{-13.6}
$