(X*2)x=167

Solution for (X*2)x=167 equation:

(X*2)X=167

We move all terms to the left:

(X*2)X-(167)=0

We add all the numbers together, and all the variables

(+X*2)X-167=0

We multiply parentheses

2X^2-167=0

a = 2; b = 0; c = -167;
Δ = b2-4ac
Δ = 02-4·2·(-167)
Δ = 1336
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:

$\sqrt{\Delta}=\sqrt{1336}=\sqrt{4*334}=\sqrt{4}*\sqrt{334}=2\sqrt{334}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{334}}{2*2}=\frac{0-2\sqrt{334}}{4}
=-\frac{2\sqrt{334}}{4}
=-\frac{\sqrt{334}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{334}}{2*2}=\frac{0+2\sqrt{334}}{4}
=\frac{2\sqrt{334}}{4}
=\frac{\sqrt{334}}{2}
$