2y+100+(-12/7)y+90-10=180

Solution for 2y+100+(-12/7)y+90-10=180 equation:

2y+100+(-12/7)y+90-10=180

We move all terms to the left:

2y+100+(-12/7)y+90-10-(180)=0


Domain of the equation: 7)y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

2y+(-12/7)y=0

We multiply parentheses

-12y^2+2y=0

a = -12; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-12)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-12}=\frac{-4}{-24}
=1/6
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-12}=\frac{0}{-24}
=0
$