X=1.25-11x/3x

Solution for X=1.25-11x/3x equation:

X=1.25-11X/3X

We move all terms to the left:

X-(1.25-11X/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-(-11X/3X+1.25)=0

We get rid of parentheses

X+11X/3X-1.25=0

We multiply all the terms by the denominator


X*3X+11X-(1.25)*3X=0

We add all the numbers together, and all the variables

11X+X*3X-(1.25)*3X=0

We multiply parentheses

11X+X*3X-3.75X=0

Wy multiply elements

3X^2+11X-3.75X=0

We add all the numbers together, and all the variables

3X^2+7.25X=0

a = 3; b = 7.25; c = 0;
Δ = b2-4ac
Δ = 7.252-4·3·0
Δ = 52.5625
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{-(7.25)-\sqrt{52.5625}}{2*3}=\frac{-7.25-\sqrt{52.5625}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.25)+\sqrt{52.5625}}{2*3}=\frac{-7.25+\sqrt{52.5625}}{6}
$