-3y*4y=4+5y-72

Solution for -3y*4y=4+5y-72 equation:

-3y*4y=4+5y-72

We move all terms to the left:

-3y*4y-(4+5y-72)=0

We add all the numbers together, and all the variables

-3y*4y-(5y-68)=0

Wy multiply elements

-12y^2-(5y-68)=0

We get rid of parentheses

-12y^2-5y+68=0

a = -12; b = -5; c = +68;
Δ = b2-4ac
Δ = -52-4·(-12)·68
Δ = 3289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-\sqrt{3289}}{2*-12}=\frac{5-\sqrt{3289}}{-24}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{3289}}{2*-12}=\frac{5+\sqrt{3289}}{-24}
$