(-4.9x^2)+20x+30=0

Solution for (-4.9x^2)+20x+30=0 equation:

(-4.9x^2)+20x+30=0

We get rid of parentheses

-4.9x^2+20x+30=0

a = -4.9; b = 20; c = +30;
Δ = b2-4ac
Δ = 202-4·(-4.9)·30
Δ = 988
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:

$\sqrt{\Delta}=\sqrt{988}=\sqrt{4*247}=\sqrt{4}*\sqrt{247}=2\sqrt{247}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-2\sqrt{247}}{2*-4.9}=\frac{-20-2\sqrt{247}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+2\sqrt{247}}{2*-4.9}=\frac{-20+2\sqrt{247}}{-9.8}
$