X(x+30)=36

Solution for X(x+30)=36 equation:

X(X+30)=36

We move all terms to the left:

X(X+30)-(36)=0

We multiply parentheses

X^2+30X-36=0

a = 1; b = 30; c = -36;
Δ = b2-4ac
Δ = 302-4·1·(-36)
Δ = 1044
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:

$\sqrt{\Delta}=\sqrt{1044}=\sqrt{36*29}=\sqrt{36}*\sqrt{29}=6\sqrt{29}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-6\sqrt{29}}{2*1}=\frac{-30-6\sqrt{29}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+6\sqrt{29}}{2*1}=\frac{-30+6\sqrt{29}}{2}
$