42.25=-16t^2+60t+2

Solution for 42.25=-16t^2+60t+2 equation:

42.25=-16t^2+60t+2

We move all terms to the left:

42.25-(-16t^2+60t+2)=0

We get rid of parentheses

16t^2-60t-2+42.25=0

We add all the numbers together, and all the variables

16t^2-60t+40.25=0

a = 16; b = -60; c = +40.25;
Δ = b2-4ac
Δ = -602-4·16·40.25
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-32}{2*16}=\frac{28}{32}
=7/8
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+32}{2*16}=\frac{92}{32}
=2+7/8
$