x+2/3*x=125

Solution for x+2/3*x=125 equation:

x+2/3x=125

We move all terms to the left:

x+2/3x-(125)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We multiply all the terms by the denominator


x*3x-125*3x+2=0

Wy multiply elements

3x^2-375x+2=0

a = 3; b = -375; c = +2;
Δ = b2-4ac
Δ = -3752-4·3·2
Δ = 140601
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{-(-375)-\sqrt{140601}}{2*3}=\frac{375-\sqrt{140601}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-375)+\sqrt{140601}}{2*3}=\frac{375+\sqrt{140601}}{6}
$