-1/4x+2=1/8x+1

Solution for -1/4x+2=1/8x+1 equation:

-1/4x+2=1/8x+1

We move all terms to the left:

-1/4x+2-(1/8x+1)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



Domain of the equation: 8x+1)!=0

x∈R


We get rid of parentheses

-1/4x-1/8x-1+2=0

We calculate fractions


(-8x)/32x^2+(-4x)/32x^2-1+2=0

We add all the numbers together, and all the variables

(-8x)/32x^2+(-4x)/32x^2+1=0

We multiply all the terms by the denominator


(-8x)+(-4x)+1*32x^2=0

Wy multiply elements

32x^2+(-8x)+(-4x)=0

We get rid of parentheses

32x^2-8x-4x=0

We add all the numbers together, and all the variables

32x^2-12x=0

a = 32; b = -12; c = 0;
Δ = b2-4ac
Δ = -122-4·32·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-12}{2*32}=\frac{0}{64}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+12}{2*32}=\frac{24}{64}
=3/8
$