5q(q+6)=-40

Solution for 5q(q+6)=-40 equation:

5q(q+6)=-40

We move all terms to the left:

5q(q+6)-(-40)=0

We add all the numbers together, and all the variables

5q(q+6)+40=0

We multiply parentheses

5q^2+30q+40=0

a = 5; b = 30; c = +40;
Δ = b2-4ac
Δ = 302-4·5·40
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-10}{2*5}=\frac{-40}{10}
=-4
$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+10}{2*5}=\frac{-20}{10}
=-2
$