2=0.013x^2-1.18x+28.24

Solution for 2=0.013x^2-1.18x+28.24 equation:

2=0.013x^2-1.18x+28.24

We move all terms to the left:

2-(0.013x^2-1.18x+28.24)=0

We get rid of parentheses

-0.013x^2+1.18x-28.24+2=0

We add all the numbers together, and all the variables

-0.013x^2+1.18x-26.24=0

a = -0.013; b = 1.18; c = -26.24;
Δ = b2-4ac
Δ = 1.182-4·(-0.013)·(-26.24)
Δ = 0.02792
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{-(1.18)-\sqrt{0.02792}}{2*-0.013}=\frac{-1.18-\sqrt{0.02792}}{-0.026}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.18)+\sqrt{0.02792}}{2*-0.013}=\frac{-1.18+\sqrt{0.02792}}{-0.026}
$