(2x-15)*(x+17)=0

Solution for (2x-15)*(x+17)=0 equation:

(2x-15)(x+17)=0

We multiply parentheses ..

(+2x^2+34x-15x-255)=0

We get rid of parentheses

2x^2+34x-15x-255=0

We add all the numbers together, and all the variables

2x^2+19x-255=0

a = 2; b = 19; c = -255;
Δ = b2-4ac
Δ = 192-4·2·(-255)
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(19)-49}{2*2}=\frac{-68}{4}
=-17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19)+49}{2*2}=\frac{30}{4}
=7+1/2
$