X+2/3x=375

Solution for X+2/3x=375 equation:

X+2/3X=375

We move all terms to the left:

X+2/3X-(375)=0


Domain of the equation: 3X!=0

X!=0/3

X!=0

X∈R


We multiply all the terms by the denominator


X*3X-375*3X+2=0

Wy multiply elements

3X^2-1125X+2=0

a = 3; b = -1125; c = +2;
Δ = b2-4ac
Δ = -11252-4·3·2
Δ = 1265601
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{-(-1125)-\sqrt{1265601}}{2*3}=\frac{1125-\sqrt{1265601}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1125)+\sqrt{1265601}}{2*3}=\frac{1125+\sqrt{1265601}}{6}
$