x^2+2x=756

Solution for x^2+2x=756 equation:

x^2+2x=756

We move all terms to the left:

x^2+2x-(756)=0

a = 1; b = 2; c = -756;
Δ = b2-4ac
Δ = 22-4·1·(-756)
Δ = 3028
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:

$\sqrt{\Delta}=\sqrt{3028}=\sqrt{4*757}=\sqrt{4}*\sqrt{757}=2\sqrt{757}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{757}}{2*1}=\frac{-2-2\sqrt{757}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{757}}{2*1}=\frac{-2+2\sqrt{757}}{2}
$