2(8u^2+88u+121)=0

Solution for 2(8u^2+88u+121)=0 equation:

2(8u^2+88u+121)=0

We multiply parentheses

16u^2+176u+242=0

a = 16; b = 176; c = +242;
Δ = b2-4ac
Δ = 1762-4·16·242
Δ = 15488
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{15488}=\sqrt{7744*2}=\sqrt{7744}*\sqrt{2}=88\sqrt{2}$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(176)-88\sqrt{2}}{2*16}=\frac{-176-88\sqrt{2}}{32}
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(176)+88\sqrt{2}}{2*16}=\frac{-176+88\sqrt{2}}{32}
$