-12/3x-11/7x=-59/49

Solution for -12/3x-11/7x=-59/49 equation:

-12/3x-11/7x=-59/49

We move all terms to the left:

-12/3x-11/7x-(-59/49)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We get rid of parentheses

-12/3x-11/7x+59/49=0

We calculate fractions


8673x^2/4116x^2+(-16464x)/4116x^2+(-6468x)/4116x^2=0

We multiply all the terms by the denominator


8673x^2+(-16464x)+(-6468x)=0

We get rid of parentheses

8673x^2-16464x-6468x=0

We add all the numbers together, and all the variables

8673x^2-22932x=0

a = 8673; b = -22932; c = 0;
Δ = b2-4ac
Δ = -229322-4·8673·0
Δ = 525876624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{525876624}=22932$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22932)-22932}{2*8673}=\frac{0}{17346}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22932)+22932}{2*8673}=\frac{45864}{17346}
=2+38/59
$