X=14/7y+4

Solution for X=14/7y+4 equation:

X=14/7X+4

We move all terms to the left:

X-(14/7X+4)=0


Domain of the equation: 7X+4)!=0

X∈R


We get rid of parentheses

X-14/7X-4=0

We multiply all the terms by the denominator


X*7X-4*7X-14=0

Wy multiply elements

7X^2-28X-14=0

a = 7; b = -28; c = -14;
Δ = b2-4ac
Δ = -282-4·7·(-14)
Δ = 1176
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:

$\sqrt{\Delta}=\sqrt{1176}=\sqrt{196*6}=\sqrt{196}*\sqrt{6}=14\sqrt{6}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-14\sqrt{6}}{2*7}=\frac{28-14\sqrt{6}}{14}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+14\sqrt{6}}{2*7}=\frac{28+14\sqrt{6}}{14}
$