3X(x+5)=-4

Solution for 3X(x+5)=-4 equation:

3X(X+5)=-4

We move all terms to the left:

3X(X+5)-(-4)=0

We add all the numbers together, and all the variables

3X(X+5)+4=0

We multiply parentheses

3X^2+15X+4=0

a = 3; b = 15; c = +4;
Δ = b2-4ac
Δ = 152-4·3·4
Δ = 177
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-\sqrt{177}}{2*3}=\frac{-15-\sqrt{177}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{177}}{2*3}=\frac{-15+\sqrt{177}}{6}
$