X(5+2w)=130

Solution for X(5+2w)=130 equation:

X(5+2X)=130

We move all terms to the left:

X(5+2X)-(130)=0

We add all the numbers together, and all the variables

X(2X+5)-130=0

We multiply parentheses

2X^2+5X-130=0

a = 2; b = 5; c = -130;
Δ = b2-4ac
Δ = 52-4·2·(-130)
Δ = 1065
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{-(5)-\sqrt{1065}}{2*2}=\frac{-5-\sqrt{1065}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{1065}}{2*2}=\frac{-5+\sqrt{1065}}{4}
$