2*u*u+2*u*u+2*u*u=1176

Solution for 2*u*u+2*u*u+2*u*u=1176 equation:

2u*u+2u*u+2u*u=1176

We move all terms to the left:

2u*u+2u*u+2u*u-(1176)=0

Wy multiply elements

2u^2+2u^2+2u^2-1176=0

We add all the numbers together, and all the variables

6u^2-1176=0

a = 6; b = 0; c = -1176;
Δ = b2-4ac
Δ = 02-4·6·(-1176)
Δ = 28224
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28224}=168$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-168}{2*6}=\frac{-168}{12}
=-14
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+168}{2*6}=\frac{168}{12}
=14
$