0=-4.9x^2+2x+30

Solution for 0=-4.9x^2+2x+30 equation:

0=-4.9x^2+2x+30

We move all terms to the left:

0-(-4.9x^2+2x+30)=0

We add all the numbers together, and all the variables

-(-4.9x^2+2x+30)=0

We get rid of parentheses

4.9x^2-2x-30=0

a = 4.9; b = -2; c = -30;
Δ = b2-4ac
Δ = -22-4·4.9·(-30)
Δ = 592
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{592}=\sqrt{16*37}=\sqrt{16}*\sqrt{37}=4\sqrt{37}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-4\sqrt{37}}{2*4.9}=\frac{2-4\sqrt{37}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+4\sqrt{37}}{2*4.9}=\frac{2+4\sqrt{37}}{9.8}
$