(3a+6)(2a+10)=

Solution for (3a+6)(2a+10)= equation:

(3a+6)(2a+10)=

We move all terms to the left:

(3a+6)(2a+10)-()=0

We add all the numbers together, and all the variables

(3a+6)(2a+10)=0

We multiply parentheses ..

(+6a^2+30a+12a+60)=0

We get rid of parentheses

6a^2+30a+12a+60=0

We add all the numbers together, and all the variables

6a^2+42a+60=0

a = 6; b = 42; c = +60;
Δ = b2-4ac
Δ = 422-4·6·60
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-18}{2*6}=\frac{-60}{12}
=-5
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+18}{2*6}=\frac{-24}{12}
=-2
$