(x)(x+23)=330

Solution for (x)(x+23)=330 equation:

(x)(x+23)=330

We move all terms to the left:

(x)(x+23)-(330)=0

We multiply parentheses

x^2+23x-330=0

a = 1; b = 23; c = -330;
Δ = b2-4ac
Δ = 232-4·1·(-330)
Δ = 1849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1849}=43$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-43}{2*1}=\frac{-66}{2}
=-33
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+43}{2*1}=\frac{20}{2}
=10
$