x*(x-14)=176

Solution for x*(x-14)=176 equation:

x(x-14)=176

We move all terms to the left:

x(x-14)-(176)=0

We multiply parentheses

x^2-14x-176=0

a = 1; b = -14; c = -176;
Δ = b2-4ac
Δ = -142-4·1·(-176)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-30}{2*1}=\frac{-16}{2}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+30}{2*1}=\frac{44}{2}
=22
$