8X(x+3)=270

Solution for 8X(x+3)=270 equation:

8X(X+3)=270

We move all terms to the left:

8X(X+3)-(270)=0

We multiply parentheses

8X^2+24X-270=0

a = 8; b = 24; c = -270;
Δ = b2-4ac
Δ = 242-4·8·(-270)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-96}{2*8}=\frac{-120}{16}
=-7+1/2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+96}{2*8}=\frac{72}{16}
=4+1/2
$