X^2+23x+60=630

Solution for X^2+23x+60=630 equation:

X^2+23X+60=630

We move all terms to the left:

X^2+23X+60-(630)=0

We add all the numbers together, and all the variables

X^2+23X-570=0

a = 1; b = 23; c = -570;
Δ = b2-4ac
Δ = 232-4·1·(-570)
Δ = 2809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2809}=53$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-53}{2*1}=\frac{-76}{2}
=-38
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+53}{2*1}=\frac{30}{2}
=15
$