5x2-30x=5

Solution for 5x2-30x=5 equation:

5x^2-30x=5

We move all terms to the left:

5x^2-30x-(5)=0

a = 5; b = -30; c = -5;
Δ = b2-4ac
Δ = -302-4·5·(-5)
Δ = 1000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1000}=\sqrt{100*10}=\sqrt{100}*\sqrt{10}=10\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-10\sqrt{10}}{2*5}=\frac{30-10\sqrt{10}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+10\sqrt{10}}{2*5}=\frac{30+10\sqrt{10}}{10}
$