60=-4.9x^2+19.6x+58.8

Solution for 60=-4.9x^2+19.6x+58.8 equation:

60=-4.9x^2+19.6x+58.8

We move all terms to the left:

60-(-4.9x^2+19.6x+58.8)=0

We get rid of parentheses

4.9x^2-19.6x-58.8+60=0

We add all the numbers together, and all the variables

4.9x^2-19.6x+1.2=0

a = 4.9; b = -19.6; c = +1.2;
Δ = b2-4ac
Δ = -19.62-4·4.9·1.2
Δ = 360.64
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{-(-19.6)-\sqrt{360.64}}{2*4.9}=\frac{19.6-\sqrt{360.64}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19.6)+\sqrt{360.64}}{2*4.9}=\frac{19.6+\sqrt{360.64}}{9.8}
$