(8x+15)(11x+4)=0

Solution for (8x+15)(11x+4)=0 equation:

(8x+15)(11x+4)=0

We multiply parentheses ..

(+88x^2+32x+165x+60)=0

We get rid of parentheses

88x^2+32x+165x+60=0

We add all the numbers together, and all the variables

88x^2+197x+60=0

a = 88; b = 197; c = +60;
Δ = b2-4ac
Δ = 1972-4·88·60
Δ = 17689
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17689}=133$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(197)-133}{2*88}=\frac{-330}{176}
=-1+7/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(197)+133}{2*88}=\frac{-64}{176}
=-4/11
$