X(2x+25)=180

Solution for X(2x+25)=180 equation:

X(2X+25)=180

We move all terms to the left:

X(2X+25)-(180)=0

We multiply parentheses

2X^2+25X-180=0

a = 2; b = 25; c = -180;
Δ = b2-4ac
Δ = 252-4·2·(-180)
Δ = 2065
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{-(25)-\sqrt{2065}}{2*2}=\frac{-25-\sqrt{2065}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+\sqrt{2065}}{2*2}=\frac{-25+\sqrt{2065}}{4}
$