-2/3y-1/7y=357

Solution for -2/3y-1/7y=357 equation:

-2/3y-1/7y=357

We move all terms to the left:

-2/3y-1/7y-(357)=0


Domain of the equation: 3y!=0

y!=0/3

y!=0

y∈R



Domain of the equation: 7y!=0

y!=0/7

y!=0

y∈R


We calculate fractions


(-14y)/21y^2+(-3y)/21y^2-357=0

We multiply all the terms by the denominator


(-14y)+(-3y)-357*21y^2=0

Wy multiply elements

-7497y^2+(-14y)+(-3y)=0

We get rid of parentheses

-7497y^2-14y-3y=0

We add all the numbers together, and all the variables

-7497y^2-17y=0

a = -7497; b = -17; c = 0;
Δ = b2-4ac
Δ = -172-4·(-7497)·0
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-17}{2*-7497}=\frac{0}{-14994}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+17}{2*-7497}=\frac{34}{-14994}
=-1/441
$