(2y^2-56-96)=0

Solution for (2y^2-56-96)=0 equation:

(2y^2-56-96)=0

We get rid of parentheses

2y^2-56-96=0

We add all the numbers together, and all the variables

2y^2-152=0

a = 2; b = 0; c = -152;
Δ = b2-4ac
Δ = 02-4·2·(-152)
Δ = 1216
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:

$\sqrt{\Delta}=\sqrt{1216}=\sqrt{64*19}=\sqrt{64}*\sqrt{19}=8\sqrt{19}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{19}}{2*2}=\frac{0-8\sqrt{19}}{4}
=-\frac{8\sqrt{19}}{4}
=-2\sqrt{19}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{19}}{2*2}=\frac{0+8\sqrt{19}}{4}
=\frac{8\sqrt{19}}{4}
=2\sqrt{19}
$