x^2+5x=696

Solution for x^2+5x=696 equation:

x^2+5x=696

We move all terms to the left:

x^2+5x-(696)=0

a = 1; b = 5; c = -696;
Δ = b2-4ac
Δ = 52-4·1·(-696)
Δ = 2809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2809}=53$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-53}{2*1}=\frac{-58}{2}
=-29
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+53}{2*1}=\frac{48}{2}
=24
$