X=77.65+(x-39.15/2)

Solution for X=77.65+(x-39.15/2) equation:

X=77.65+(X-39.15/2)

We move all terms to the left:

X-(77.65+(X-39.15/2))=0

We add all the numbers together, and all the variables

X-(77.65+(+X-39.15/2))=0

We multiply all the terms by the denominator


X*2))-(77.65+(+X-39.15=0

We add all the numbers together, and all the variables

X+X*2))-(77.65+(-39.15=0

Wy multiply elements

2X^2+X-39.15=0

a = 2; b = 1; c = -39.15;
Δ = b2-4ac
Δ = 12-4·2·(-39.15)
Δ = 314.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{314.2}}{2*2}=\frac{-1-\sqrt{314.2}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{314.2}}{2*2}=\frac{-1+\sqrt{314.2}}{4}
$