0=43t-4.7t^2

Solution for 0=43t-4.7t^2 equation:

0=43t-4.7t^2

We move all terms to the left:

0-(43t-4.7t^2)=0

We add all the numbers together, and all the variables

-(43t-4.7t^2)=0

We get rid of parentheses

4.7t^2-43t=0

a = 4.7; b = -43; c = 0;
Δ = b2-4ac
Δ = -432-4·4.7·0
Δ = 1849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1849}=43$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-43)-43}{2*4.7}=\frac{0}{9.4}
=0
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-43)+43}{2*4.7}=\frac{86}{9.4}
=9+1/6.7142857142858
$