X+4/3x=147

Solution for X+4/3x=147 equation:

X+4/3X=147

We move all terms to the left:

X+4/3X-(147)=0


Domain of the equation: 3X!=0

X!=0/3

X!=0

X∈R


We multiply all the terms by the denominator


X*3X-147*3X+4=0

Wy multiply elements

3X^2-441X+4=0

a = 3; b = -441; c = +4;
Δ = b2-4ac
Δ = -4412-4·3·4
Δ = 194433
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{-(-441)-\sqrt{194433}}{2*3}=\frac{441-\sqrt{194433}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-441)+\sqrt{194433}}{2*3}=\frac{441+\sqrt{194433}}{6}
$