x2-10=30x

Solution for x2-10=30x equation:

x2-10=30x

We move all terms to the left:

x2-10-(30x)=0

We add all the numbers together, and all the variables

x^2-30x-10=0

a = 1; b = -30; c = -10;
Δ = b2-4ac
Δ = -302-4·1·(-10)
Δ = 940
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:

$\sqrt{\Delta}=\sqrt{940}=\sqrt{4*235}=\sqrt{4}*\sqrt{235}=2\sqrt{235}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-2\sqrt{235}}{2*1}=\frac{30-2\sqrt{235}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+2\sqrt{235}}{2*1}=\frac{30+2\sqrt{235}}{2}
$