4x^2-2x=650

Solution for 4x^2-2x=650 equation:

4x^2-2x=650

We move all terms to the left:

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

a = 4; b = -2; c = -650;
Δ = b2-4ac
Δ = -22-4·4·(-650)
Δ = 10404
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10404}=102$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-102}{2*4}=\frac{-100}{8}
=-12+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+102}{2*4}=\frac{104}{8}
=13
$