4a^2-5a-35=9

Solution for 4a^2-5a-35=9 equation:

4a^2-5a-35=9

We move all terms to the left:

4a^2-5a-35-(9)=0

We add all the numbers together, and all the variables

4a^2-5a-44=0

a = 4; b = -5; c = -44;
Δ = b2-4ac
Δ = -52-4·4·(-44)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-27}{2*4}=\frac{-22}{8}
=-2+3/4
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+27}{2*4}=\frac{32}{8}
=4
$