-147=-12y^2

Solution for -147=-12y^2 equation:

-147=-12y^2

We move all terms to the left:

-147-(-12y^2)=0

We get rid of parentheses

12y^2-147=0

a = 12; b = 0; c = -147;
Δ = b2-4ac
Δ = 02-4·12·(-147)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*12}=\frac{-84}{24}
=-3+1/2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*12}=\frac{84}{24}
=3+1/2
$