2(2x2)=450

Solution for 2(2x2)=450 equation:

2(2x^2)=450

We move all terms to the left:

2(2x^2)-(450)=0

a = 22; b = 0; c = -450;
Δ = b2-4ac
Δ = 02-4·22·(-450)
Δ = 39600
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:

$\sqrt{\Delta}=\sqrt{39600}=\sqrt{3600*11}=\sqrt{3600}*\sqrt{11}=60\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{11}}{2*22}=\frac{0-60\sqrt{11}}{44}
=-\frac{60\sqrt{11}}{44}
=-\frac{15\sqrt{11}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{11}}{2*22}=\frac{0+60\sqrt{11}}{44}
=\frac{60\sqrt{11}}{44}
=\frac{15\sqrt{11}}{11}
$