2y^2-12y=144

Solution for 2y^2-12y=144 equation:

2y^2-12y=144

We move all terms to the left:

2y^2-12y-(144)=0

a = 2; b = -12; c = -144;
Δ = b2-4ac
Δ = -122-4·2·(-144)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-36}{2*2}=\frac{-24}{4}
=-6
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+36}{2*2}=\frac{48}{4}
=12
$