14=5x^2-33x

Solution for 14=5x^2-33x equation:

14=5x^2-33x

We move all terms to the left:

14-(5x^2-33x)=0

We get rid of parentheses

-5x^2+33x+14=0

a = -5; b = 33; c = +14;
Δ = b2-4ac
Δ = 332-4·(-5)·14
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{-(33)-37}{2*-5}=\frac{-70}{-10}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+37}{2*-5}=\frac{4}{-10}
=-2/5
$