2x(x-66)=560

Solution for 2x(x-66)=560 equation:

2x(x-66)=560

We move all terms to the left:

2x(x-66)-(560)=0

We multiply parentheses

2x^2-132x-560=0

a = 2; b = -132; c = -560;
Δ = b2-4ac
Δ = -1322-4·2·(-560)
Δ = 21904
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{21904}=148$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-132)-148}{2*2}=\frac{-16}{4}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-132)+148}{2*2}=\frac{280}{4}
=70
$