(X-11)x-4=60

Solution for (X-11)x-4=60 equation:

(X-11)X-4=60

We move all terms to the left:

(X-11)X-4-(60)=0

We add all the numbers together, and all the variables

(X-11)X-64=0

We multiply parentheses

X^2-11X-64=0

a = 1; b = -11; c = -64;
Δ = b2-4ac
Δ = -112-4·1·(-64)
Δ = 377
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{377}}{2*1}=\frac{11-\sqrt{377}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{377}}{2*1}=\frac{11+\sqrt{377}}{2}
$