X*(x+10)=44

Solution for X*(x+10)=44 equation:

X(X+10)=44

We move all terms to the left:

X(X+10)-(44)=0

We multiply parentheses

X^2+10X-44=0

a = 1; b = 10; c = -44;
Δ = b2-4ac
Δ = 102-4·1·(-44)
Δ = 276
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:

$\sqrt{\Delta}=\sqrt{276}=\sqrt{4*69}=\sqrt{4}*\sqrt{69}=2\sqrt{69}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{69}}{2*1}=\frac{-10-2\sqrt{69}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{69}}{2*1}=\frac{-10+2\sqrt{69}}{2}
$