X^2-12x=1260

Solution for X^2-12x=1260 equation:

X^2-12X=1260

We move all terms to the left:

X^2-12X-(1260)=0

a = 1; b = -12; c = -1260;
Δ = b2-4ac
Δ = -122-4·1·(-1260)
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-72}{2*1}=\frac{-60}{2}
=-30
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+72}{2*1}=\frac{84}{2}
=42
$