4.9x^2+4x=650

Solution for 4.9x^2+4x=650 equation:

4.9x^2+4x=650

We move all terms to the left:

4.9x^2+4x-(650)=0

a = 4.9; b = 4; c = -650;
Δ = b2-4ac
Δ = 42-4·4.9·(-650)
Δ = 12756
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:

$\sqrt{\Delta}=\sqrt{12756}=\sqrt{4*3189}=\sqrt{4}*\sqrt{3189}=2\sqrt{3189}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{3189}}{2*4.9}=\frac{-4-2\sqrt{3189}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{3189}}{2*4.9}=\frac{-4+2\sqrt{3189}}{9.8}
$