30.2-12x=4.9x^2

Solution for 30.2-12x=4.9x^2 equation:

30.2-12x=4.9x^2

We move all terms to the left:

30.2-12x-(4.9x^2)=0

We get rid of parentheses

-4.9x^2-12x+30.2=0

a = -4.9; b = -12; c = +30.2;
Δ = b2-4ac
Δ = -122-4·(-4.9)·30.2
Δ = 735.92
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{-(-12)-\sqrt{735.92}}{2*-4.9}=\frac{12-\sqrt{735.92}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+\sqrt{735.92}}{2*-4.9}=\frac{12+\sqrt{735.92}}{-9.8}
$