(9x+23)(10x+6)=0

Solution for (9x+23)(10x+6)=0 equation:

(9x+23)(10x+6)=0

We multiply parentheses ..

(+90x^2+54x+230x+138)=0

We get rid of parentheses

90x^2+54x+230x+138=0

We add all the numbers together, and all the variables

90x^2+284x+138=0

a = 90; b = 284; c = +138;
Δ = b2-4ac
Δ = 2842-4·90·138
Δ = 30976
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{30976}=176$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(284)-176}{2*90}=\frac{-460}{180}
=-2+5/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(284)+176}{2*90}=\frac{-108}{180}
=-3/5
$