X+.5=4/3x

Solution for X+.5=4/3x equation:

X+.5=4/3X

We move all terms to the left:

X+.5-(4/3X)=0


Domain of the equation: 3X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+4/3X)+.5=0

We add all the numbers together, and all the variables

X-(+4/3X)+0.5=0

We get rid of parentheses

X-4/3X+0.5=0

We multiply all the terms by the denominator


X*3X+(0.5)*3X-4=0

We multiply parentheses

X*3X+1.5X-4=0

Wy multiply elements

3X^2+1.5X-4=0

a = 3; b = 1.5; c = -4;
Δ = b2-4ac
Δ = 1.52-4·3·(-4)
Δ = 50.25
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{-(1.5)-\sqrt{50.25}}{2*3}=\frac{-1.5-\sqrt{50.25}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.5)+\sqrt{50.25}}{2*3}=\frac{-1.5+\sqrt{50.25}}{6}
$