(2/3)x=3.333

Solution for (2/3)x=3.333 equation:

(2/3)x=3.333

We move all terms to the left:

(2/3)x-(3.333)=0


Domain of the equation: 3)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+2/3)x-(3.333)=0

We add all the numbers together, and all the variables

(+2/3)x-3.333=0

We multiply parentheses

2x^2-3.333=0

a = 2; b = 0; c = -3.333;
Δ = b2-4ac
Δ = 02-4·2·(-3.333)
Δ = 26.664
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{-(0)-\sqrt{26.664}}{2*2}=\frac{0-\sqrt{26.664}}{4}
=-\frac{\sqrt{}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{26.664}}{2*2}=\frac{0+\sqrt{26.664}}{4}
=\frac{\sqrt{}}{4}
$