3-1/8x=-1-1/3x

Solution for 3-1/8x=-1-1/3x equation:

3-1/8x=-1-1/3x

We move all terms to the left:

3-1/8x-(-1-1/3x)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 3x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-1/8x-(-1/3x-1)+3=0

We get rid of parentheses

-1/8x+1/3x+1+3=0

We calculate fractions


(-3x)/24x^2+8x/24x^2+1+3=0

We add all the numbers together, and all the variables

(-3x)/24x^2+8x/24x^2+4=0

We multiply all the terms by the denominator


(-3x)+8x+4*24x^2=0

We add all the numbers together, and all the variables

8x+(-3x)+4*24x^2=0

Wy multiply elements

96x^2+8x+(-3x)=0

We get rid of parentheses

96x^2+8x-3x=0

We add all the numbers together, and all the variables

96x^2+5x=0

a = 96; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·96·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*96}=\frac{-10}{192}
=-5/96
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*96}=\frac{0}{192}
=0
$