(6x+7)(2x+15)=0

Solution for (6x+7)(2x+15)=0 equation:

(6x+7)(2x+15)=0

We multiply parentheses ..

(+12x^2+90x+14x+105)=0

We get rid of parentheses

12x^2+90x+14x+105=0

We add all the numbers together, and all the variables

12x^2+104x+105=0

a = 12; b = 104; c = +105;
Δ = b2-4ac
Δ = 1042-4·12·105
Δ = 5776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5776}=76$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(104)-76}{2*12}=\frac{-180}{24}
=-7+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(104)+76}{2*12}=\frac{-28}{24}
=-1+1/6
$