-12=5.2-4.9t^2

Solution for -12=5.2-4.9t^2 equation:

-12=5.2-4.9t^2

We move all terms to the left:

-12-(5.2-4.9t^2)=0

We get rid of parentheses

4.9t^2-5.2-12=0

We add all the numbers together, and all the variables

4.9t^2-17.2=0

a = 4.9; b = 0; c = -17.2;
Δ = b2-4ac
Δ = 02-4·4.9·(-17.2)
Δ = 337.12
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{-(0)-\sqrt{337.12}}{2*4.9}=\frac{0-\sqrt{337.12}}{9.8}
=-\frac{\sqrt{}}{9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{337.12}}{2*4.9}=\frac{0+\sqrt{337.12}}{9.8}
=\frac{\sqrt{}}{9.8}
$