t(4.9t-2.76)=0

Solution for t(4.9t-2.76)=0 equation:

t(4.9t-2.76)=0

We multiply parentheses

4t^2-2.76t=0

a = 4; b = -2.76; c = 0;
Δ = b2-4ac
Δ = -2.762-4·4·0
Δ = 7.6176
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{-(-2.76)-\sqrt{7.6176}}{2*4}=\frac{2.76-\sqrt{7.6176}}{8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.76)+\sqrt{7.6176}}{2*4}=\frac{2.76+\sqrt{7.6176}}{8}
$