X(2x+17)=774

Solution for X(2x+17)=774 equation:

X(2X+17)=774

We move all terms to the left:

X(2X+17)-(774)=0

We multiply parentheses

2X^2+17X-774=0

a = 2; b = 17; c = -774;
Δ = b2-4ac
Δ = 172-4·2·(-774)
Δ = 6481
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{-(17)-\sqrt{6481}}{2*2}=\frac{-17-\sqrt{6481}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{6481}}{2*2}=\frac{-17+\sqrt{6481}}{4}
$