(x-14)(x=17)=0

Solution for (x-14)(x=17)=0 equation:

(x-14)(x=17)=0

We move all terms to the left:

(x-14)(x-(17))=0

We multiply parentheses ..

(+x^2-17x-14x+238)=0

We get rid of parentheses

x^2-17x-14x+238=0

We add all the numbers together, and all the variables

x^2-31x+238=0

a = 1; b = -31; c = +238;
Δ = b2-4ac
Δ = -312-4·1·238
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-3}{2*1}=\frac{28}{2}
=14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+3}{2*1}=\frac{34}{2}
=17
$