(X+5)*(2x+5)=250

Solution for (X+5)*(2x+5)=250 equation:

(X+5)(2X+5)=250

We move all terms to the left:

(X+5)(2X+5)-(250)=0

We multiply parentheses ..

(+2X^2+5X+10X+25)-250=0

We get rid of parentheses

2X^2+5X+10X+25-250=0

We add all the numbers together, and all the variables

2X^2+15X-225=0

a = 2; b = 15; c = -225;
Δ = b2-4ac
Δ = 152-4·2·(-225)
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-45}{2*2}=\frac{-60}{4}
=-15
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+45}{2*2}=\frac{30}{4}
=7+1/2
$