X=30+(2x-30)/2

Solution for X=30+(2x-30)/2 equation:

X=30+(2X-30)/2

We move all terms to the left:

X-(30+(2X-30)/2)=0

We multiply all the terms by the denominator


X*2)-(30+(2X-30)=0

Wy multiply elements

2X^2+(2X-30)=0

We get rid of parentheses

2X^2+2X-30=0

a = 2; b = 2; c = -30;
Δ = b2-4ac
Δ = 22-4·2·(-30)
Δ = 244
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:

$\sqrt{\Delta}=\sqrt{244}=\sqrt{4*61}=\sqrt{4}*\sqrt{61}=2\sqrt{61}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{61}}{2*2}=\frac{-2-2\sqrt{61}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{61}}{2*2}=\frac{-2+2\sqrt{61}}{4}
$