5x^2-5=30x-30

Solution for 5x^2-5=30x-30 equation:

5x^2-5=30x-30

We move all terms to the left:

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

We get rid of parentheses

5x^2-30x+30-5=0

We add all the numbers together, and all the variables

5x^2-30x+25=0

a = 5; b = -30; c = +25;
Δ = b2-4ac
Δ = -302-4·5·25
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-20}{2*5}=\frac{10}{10}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+20}{2*5}=\frac{50}{10}
=5
$