3x^2-17x=90

Solution for 3x^2-17x=90 equation:

3x^2-17x=90

We move all terms to the left:

3x^2-17x-(90)=0

a = 3; b = -17; c = -90;
Δ = b2-4ac
Δ = -172-4·3·(-90)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-37}{2*3}=\frac{-20}{6}
=-3+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+37}{2*3}=\frac{54}{6}
=9
$