(4+y)(4y+7)=0

Solution for (4+y)(4y+7)=0 equation:

(4+y)(4y+7)=0

We add all the numbers together, and all the variables

(y+4)(4y+7)=0

We multiply parentheses ..

(+4y^2+7y+16y+28)=0

We get rid of parentheses

4y^2+7y+16y+28=0

We add all the numbers together, and all the variables

4y^2+23y+28=0

a = 4; b = 23; c = +28;
Δ = b2-4ac
Δ = 232-4·4·28
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-9}{2*4}=\frac{-32}{8}
=-4
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+9}{2*4}=\frac{-14}{8}
=-1+3/4
$