x^2+60x=1600

Solution for x^2+60x=1600 equation:

x^2+60x=1600

We move all terms to the left:

x^2+60x-(1600)=0

a = 1; b = 60; c = -1600;
Δ = b2-4ac
Δ = 602-4·1·(-1600)
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-100}{2*1}=\frac{-160}{2}
=-80
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+100}{2*1}=\frac{40}{2}
=20
$