7x+2x/4x+2x=-4/3

Solution for 7x+2x/4x+2x=-4/3 equation:

7x+2x/4x+2x=-4/3

We move all terms to the left:

7x+2x/4x+2x-(-4/3)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

9x+2x/4x-(-4/3)=0

We get rid of parentheses

9x+2x/4x+4/3=0

We calculate fractions


9x+6x/12x+16x/12x=0

We multiply all the terms by the denominator


9x*12x+6x+16x=0

We add all the numbers together, and all the variables

22x+9x*12x=0

Wy multiply elements

108x^2+22x=0

a = 108; b = 22; c = 0;
Δ = b2-4ac
Δ = 222-4·108·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-22}{2*108}=\frac{-44}{216}
=-11/54
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+22}{2*108}=\frac{0}{216}
=0
$