12y^2+8y=130

Solution for 12y^2+8y=130 equation:

12y^2+8y=130

We move all terms to the left:

12y^2+8y-(130)=0

a = 12; b = 8; c = -130;
Δ = b2-4ac
Δ = 82-4·12·(-130)
Δ = 6304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6304}=\sqrt{16*394}=\sqrt{16}*\sqrt{394}=4\sqrt{394}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-4\sqrt{394}}{2*12}=\frac{-8-4\sqrt{394}}{24}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+4\sqrt{394}}{2*12}=\frac{-8+4\sqrt{394}}{24}
$