(X-3)(2x-11)=0

Solution for (X-3)(2x-11)=0 equation:

(X-3)(2X-11)=0

We multiply parentheses ..

(+2X^2-11X-6X+33)=0

We get rid of parentheses

2X^2-11X-6X+33=0

We add all the numbers together, and all the variables

2X^2-17X+33=0

a = 2; b = -17; c = +33;
Δ = b2-4ac
Δ = -172-4·2·33
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-5}{2*2}=\frac{12}{4}
=3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+5}{2*2}=\frac{22}{4}
=5+1/2
$