-2/6x-1/4x=-22

Solution for -2/6x-1/4x=-22 equation:

-2/6x-1/4x=-22

We move all terms to the left:

-2/6x-1/4x-(-22)=0


Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

-2/6x-1/4x+22=0

We calculate fractions


(-8x)/24x^2+(-6x)/24x^2+22=0

We multiply all the terms by the denominator


(-8x)+(-6x)+22*24x^2=0

Wy multiply elements

528x^2+(-8x)+(-6x)=0

We get rid of parentheses

528x^2-8x-6x=0

We add all the numbers together, and all the variables

528x^2-14x=0

a = 528; b = -14; c = 0;
Δ = b2-4ac
Δ = -142-4·528·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-14}{2*528}=\frac{0}{1056}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+14}{2*528}=\frac{28}{1056}
=7/264
$