(5x+8)(6x+9)=0

Solution for (5x+8)(6x+9)=0 equation:

(5x+8)(6x+9)=0

We multiply parentheses ..

(+30x^2+45x+48x+72)=0

We get rid of parentheses

30x^2+45x+48x+72=0

We add all the numbers together, and all the variables

30x^2+93x+72=0

a = 30; b = 93; c = +72;
Δ = b2-4ac
Δ = 932-4·30·72
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(93)-3}{2*30}=\frac{-96}{60}
=-1+3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(93)+3}{2*30}=\frac{-90}{60}
=-1+1/2
$