(x+7)(x)=294

Solution for (x+7)(x)=294 equation:

(x+7)(x)=294

We move all terms to the left:

(x+7)(x)-(294)=0

We multiply parentheses

x^2+7x-294=0

a = 1; b = 7; c = -294;
Δ = b2-4ac
Δ = 72-4·1·(-294)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-35}{2*1}=\frac{-42}{2}
=-21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+35}{2*1}=\frac{28}{2}
=14
$