X+4/7x=88

Solution for X+4/7x=88 equation:

X+4/7X=88

We move all terms to the left:

X+4/7X-(88)=0


Domain of the equation: 7X!=0

X!=0/7

X!=0

X∈R


We multiply all the terms by the denominator


X*7X-88*7X+4=0

Wy multiply elements

7X^2-616X+4=0

a = 7; b = -616; c = +4;
Δ = b2-4ac
Δ = -6162-4·7·4
Δ = 379344
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:

$\sqrt{\Delta}=\sqrt{379344}=\sqrt{16*23709}=\sqrt{16}*\sqrt{23709}=4\sqrt{23709}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-616)-4\sqrt{23709}}{2*7}=\frac{616-4\sqrt{23709}}{14}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-616)+4\sqrt{23709}}{2*7}=\frac{616+4\sqrt{23709}}{14}
$