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

Solution for (9+y)(4y+7)=0 equation:

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

We add all the numbers together, and all the variables

(y+9)(4y+7)=0

We multiply parentheses ..

(+4y^2+7y+36y+63)=0

We get rid of parentheses

4y^2+7y+36y+63=0

We add all the numbers together, and all the variables

4y^2+43y+63=0

a = 4; b = 43; c = +63;
Δ = b2-4ac
Δ = 432-4·4·63
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(43)-29}{2*4}=\frac{-72}{8}
=-9
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(43)+29}{2*4}=\frac{-14}{8}
=-1+3/4
$