x(x+60)=6496

Solution for x(x+60)=6496 equation:

x(x+60)=6496

We move all terms to the left:

x(x+60)-(6496)=0

We multiply parentheses

x^2+60x-6496=0

a = 1; b = 60; c = -6496;
Δ = b2-4ac
Δ = 602-4·1·(-6496)
Δ = 29584
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{29584}=172$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-172}{2*1}=\frac{-232}{2}
=-116
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+172}{2*1}=\frac{112}{2}
=56
$