0.0021x^2-0.286x+16.28=43

Solution for 0.0021x^2-0.286x+16.28=43 equation:

0.0021x^2-0.286x+16.28=43

We move all terms to the left:

0.0021x^2-0.286x+16.28-(43)=0

We add all the numbers together, and all the variables

0.0021x^2-0.286x-26.72=0

a = 0.0021; b = -0.286; c = -26.72;
Δ = b2-4ac
Δ = -0.2862-4·0.0021·(-26.72)
Δ = 0.306244
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{-(-0.286)-\sqrt{0.306244}}{2*0.0021}=\frac{0.286-\sqrt{0.306244}}{0.0042}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.286)+\sqrt{0.306244}}{2*0.0021}=\frac{0.286+\sqrt{0.306244}}{0.0042}
$