5a^2=-35-40a

Solution for 5a^2=-35-40a equation:

5a^2=-35-40a

We move all terms to the left:

5a^2-(-35-40a)=0

We add all the numbers together, and all the variables

5a^2-(-40a-35)=0

We get rid of parentheses

5a^2+40a+35=0

a = 5; b = 40; c = +35;
Δ = b2-4ac
Δ = 402-4·5·35
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-30}{2*5}=\frac{-70}{10}
=-7
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+30}{2*5}=\frac{-10}{10}
=-1
$