2x^2-20x=176

Solution for 2x^2-20x=176 equation:

2x^2-20x=176

We move all terms to the left:

2x^2-20x-(176)=0

a = 2; b = -20; c = -176;
Δ = b2-4ac
Δ = -202-4·2·(-176)
Δ = 1808
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:

$\sqrt{\Delta}=\sqrt{1808}=\sqrt{16*113}=\sqrt{16}*\sqrt{113}=4\sqrt{113}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-4\sqrt{113}}{2*2}=\frac{20-4\sqrt{113}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+4\sqrt{113}}{2*2}=\frac{20+4\sqrt{113}}{4}
$