30-14X2+8=x

Solution for 30-14X2+8=x equation:

30-14X^2+8=X

We move all terms to the left:

30-14X^2+8-(X)=0

We add all the numbers together, and all the variables

-14X^2-1X+38=0

a = -14; b = -1; c = +38;
Δ = b2-4ac
Δ = -12-4·(-14)·38
Δ = 2129
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{2129}}{2*-14}=\frac{1-\sqrt{2129}}{-28}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{2129}}{2*-14}=\frac{1+\sqrt{2129}}{-28}
$