4.9x^2+12x=30

Solution for 4.9x^2+12x=30 equation:

4.9x^2+12x=30

We move all terms to the left:

4.9x^2+12x-(30)=0

a = 4.9; b = 12; c = -30;
Δ = b2-4ac
Δ = 122-4·4.9·(-30)
Δ = 732
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:

$\sqrt{\Delta}=\sqrt{732}=\sqrt{4*183}=\sqrt{4}*\sqrt{183}=2\sqrt{183}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-2\sqrt{183}}{2*4.9}=\frac{-12-2\sqrt{183}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+2\sqrt{183}}{2*4.9}=\frac{-12+2\sqrt{183}}{9.8}
$