3a^2-26a=9

Solution for 3a^2-26a=9 equation:

3a^2-26a=9

We move all terms to the left:

3a^2-26a-(9)=0

a = 3; b = -26; c = -9;
Δ = b2-4ac
Δ = -262-4·3·(-9)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-28}{2*3}=\frac{-2}{6}
=-1/3
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+28}{2*3}=\frac{54}{6}
=9
$