(x)(x+17)=25

Solution for (x)(x+17)=25 equation:

(x)(x+17)=25

We move all terms to the left:

(x)(x+17)-(25)=0

We multiply parentheses

x^2+17x-25=0

a = 1; b = 17; c = -25;
Δ = b2-4ac
Δ = 172-4·1·(-25)
Δ = 389
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{389}}{2*1}=\frac{-17-\sqrt{389}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{389}}{2*1}=\frac{-17+\sqrt{389}}{2}
$