8/4x+1/8x=45/12

Solution for 8/4x+1/8x=45/12 equation:

8/4x+1/8x=45/12

We move all terms to the left:

8/4x+1/8x-(45/12)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R


We add all the numbers together, and all the variables

8/4x+1/8x-(+45/12)=0

We get rid of parentheses

8/4x+1/8x-45/12=0

We calculate fractions


(-11520x^2)/384x^2+768x/384x^2+48x/384x^2=0

We multiply all the terms by the denominator


(-11520x^2)+768x+48x=0

We add all the numbers together, and all the variables

(-11520x^2)+816x=0

We get rid of parentheses

-11520x^2+816x=0

a = -11520; b = 816; c = 0;
Δ = b2-4ac
Δ = 8162-4·(-11520)·0
Δ = 665856
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{665856}=816$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(816)-816}{2*-11520}=\frac{-1632}{-23040}
=17/240
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(816)+816}{2*-11520}=\frac{0}{-23040}
=0
$