-11/8x-4/7x=-109/16

Solution for -11/8x-4/7x=-109/16 equation:

-11/8x-4/7x=-109/16

We move all terms to the left:

-11/8x-4/7x-(-109/16)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We get rid of parentheses

-11/8x-4/7x+109/16=0

We calculate fractions


42728x^2/896x^2+(-1232x)/896x^2+(-512x)/896x^2=0

We multiply all the terms by the denominator


42728x^2+(-1232x)+(-512x)=0

We get rid of parentheses

42728x^2-1232x-512x=0

We add all the numbers together, and all the variables

42728x^2-1744x=0

a = 42728; b = -1744; c = 0;
Δ = b2-4ac
Δ = -17442-4·42728·0
Δ = 3041536
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3041536}=1744$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1744)-1744}{2*42728}=\frac{0}{85456}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1744)+1744}{2*42728}=\frac{3488}{85456}
=2/49
$