X^2+60x-30=0

Solution for X^2+60x-30=0 equation:

X^2+60X-30=0

a = 1; b = 60; c = -30;
Δ = b2-4ac
Δ = 602-4·1·(-30)
Δ = 3720
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:

$\sqrt{\Delta}=\sqrt{3720}=\sqrt{4*930}=\sqrt{4}*\sqrt{930}=2\sqrt{930}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-2\sqrt{930}}{2*1}=\frac{-60-2\sqrt{930}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+2\sqrt{930}}{2*1}=\frac{-60+2\sqrt{930}}{2}
$