5x^2-33=4x

Solution for 5x^2-33=4x equation:

5x^2-33=4x

We move all terms to the left:

5x^2-33-(4x)=0

a = 5; b = -4; c = -33;
Δ = b2-4ac
Δ = -42-4·5·(-33)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-26}{2*5}=\frac{-22}{10}
=-2+1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+26}{2*5}=\frac{30}{10}
=3
$