-7/10a-2/7a=4/9

Solution for -7/10a-2/7a=4/9 equation:

-7/10a-2/7a=4/9

We move all terms to the left:

-7/10a-2/7a-(4/9)=0


Domain of the equation: 10a!=0

a!=0/10

a!=0

a∈R



Domain of the equation: 7a!=0

a!=0/7

a!=0

a∈R


We add all the numbers together, and all the variables

-7/10a-2/7a-(+4/9)=0

We get rid of parentheses

-7/10a-2/7a-4/9=0

We calculate fractions


(-1960a^2)/5670a^2+(-3969a)/5670a^2+(-1620a)/5670a^2=0

We multiply all the terms by the denominator


(-1960a^2)+(-3969a)+(-1620a)=0

We get rid of parentheses

-1960a^2-3969a-1620a=0

We add all the numbers together, and all the variables

-1960a^2-5589a=0

a = -1960; b = -5589; c = 0;
Δ = b2-4ac
Δ = -55892-4·(-1960)·0
Δ = 31236921
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{31236921}=5589$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5589)-5589}{2*-1960}=\frac{0}{-3920}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5589)+5589}{2*-1960}=\frac{11178}{-3920}
=-2+1669/1960
$