0.05t^2=2t+4.4

Solution for 0.05t^2=2t+4.4 equation:

0.05t^2=2t+4.4

We move all terms to the left:

0.05t^2-(2t+4.4)=0

We get rid of parentheses

0.05t^2-2t-4.4=0

a = 0.05; b = -2; c = -4.4;
Δ = b2-4ac
Δ = -22-4·0.05·(-4.4)
Δ = 4.88
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-\sqrt{4.88}}{2*0.05}=\frac{2-\sqrt{4.88}}{0.1}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{4.88}}{2*0.05}=\frac{2+\sqrt{4.88}}{0.1}
$