X(x+3)=1330

Solution for X(x+3)=1330 equation:

X(X+3)=1330

We move all terms to the left:

X(X+3)-(1330)=0

We multiply parentheses

X^2+3X-1330=0

a = 1; b = 3; c = -1330;
Δ = b2-4ac
Δ = 32-4·1·(-1330)
Δ = 5329
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5329}=73$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-73}{2*1}=\frac{-76}{2}
=-38
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+73}{2*1}=\frac{70}{2}
=35
$