x^2=16x-30=-58

Solution for x^2=16x-30=-58 equation:

x^2=16x-30=-58

We move all terms to the left:

x^2-(16x-30)=0

We get rid of parentheses

x^2-16x+30=0

a = 1; b = -16; c = +30;
Δ = b2-4ac
Δ = -162-4·1·30
Δ = 136
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:

$\sqrt{\Delta}=\sqrt{136}=\sqrt{4*34}=\sqrt{4}*\sqrt{34}=2\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-2\sqrt{34}}{2*1}=\frac{16-2\sqrt{34}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+2\sqrt{34}}{2*1}=\frac{16+2\sqrt{34}}{2}
$